Elementary Theory Of Groups And Group Rings And Related Topics

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Elementary Theory of Groups and Group Rings, and Related Topics

Paul Baginski,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Vladimir Shpilrain
Elementary Theory of Groups and Group Rings and Related Topics Book PDF

Author : Paul Baginski,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Vladimir Shpilrain
Publisher : Walter de Gruyter GmbH & Co KG
Page : 272 pages
File Size : 52,9 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9783110638387

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Elementary Theory of Groups and Group Rings, and Related Topics by Paul Baginski,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Vladimir Shpilrain Pdf

This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.

Groups, Rings and Group Rings

Antonio Giambruno
Groups Rings and Group Rings Book PDF

Author : Antonio Giambruno
Publisher : CRC Press
Page : 369 pages
File Size : 55,5 Mb
Release : 2006-01-20
Category : Mathematics
ISBN : 9781420010961

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Groups, Rings and Group Rings by Antonio Giambruno Pdf

This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f

Topics in Infinite Group Theory

Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Leonard Wienke
Topics in Infinite Group Theory Book PDF

Author : Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Leonard Wienke
Publisher : Walter de Gruyter GmbH & Co KG
Page : 339 pages
File Size : 47,6 Mb
Release : 2021-08-23
Category : Mathematics
ISBN : 9783110673401

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Topics in Infinite Group Theory by Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Leonard Wienke Pdf

This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.

Algebra and Number Theory

Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Annika Schürenberg,Leonard Wienke
Algebra and Number Theory Book PDF

Author : Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Annika Schürenberg,Leonard Wienke
Publisher : Walter de Gruyter GmbH & Co KG
Page : 390 pages
File Size : 52,5 Mb
Release : 2023-08-21
Category : Mathematics
ISBN : 9783110790283

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Algebra and Number Theory by Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger,Annika Schürenberg,Leonard Wienke Pdf

In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines fundamental results in Algebra and Number Theory along with their proofs and their history. In the second edition, we include additional material on perfect and triangular numbers. We also added new sections on elementary Group Theory, p-adic numbers, and Galois Theory. A true collection of mathematical gems in Algebra and Number Theory, including the integers, the reals, and the complex numbers, along with beautiful results from Galois Theory and associated geometric applications. Valuable for lecturers, teachers and students of mathematics as well as for all who are mathematically interested.

Topics in Group Rings

Sudarshan K. Sehgal
Topics in Group Rings Book PDF

Author : Sudarshan K. Sehgal
Publisher : Unknown
Page : 272 pages
File Size : 40,5 Mb
Release : 1978
Category : Mathematics
ISBN : UCAL:B4515221

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Topics in Group Rings by Sudarshan K. Sehgal Pdf

The group ring KG of the group G over a commutative unital ring K comprises an attractive object of study. This is one of the few algebraic structures that allow for explicit computations. Several easily formulated questions are associated with this topic. Many interesting results have been obtained in this area by using deep results and techniques from group theory, ring theory, and number theory. Most of the results presented and techniques used have a number theoretic flavor. Aimed at advanced graduate students and research mathematicians in algebra.

Laurent Series Rings and Related Rings

Askar Tuganbaev
Laurent Series Rings and Related Rings Book PDF

Author : Askar Tuganbaev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 150 pages
File Size : 47,5 Mb
Release : 2020-09-21
Category : Mathematics
ISBN : 9783110702248

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Laurent Series Rings and Related Rings by Askar Tuganbaev Pdf

In this book, ring-theoretical properties of skew Laurent series rings A((x; φ)) over a ring A, where A is an associative ring with non-zero identity element are described. In addition, we consider Laurent rings and Malcev-Neumann rings, which are proper extensions of skew Laurent series rings.

Complexity and Randomness in Group Theory

Frédérique Bassino,Ilya Kapovich,Markus Lohrey,Alexei Miasnikov,Cyril Nicaud,Andrey Nikolaev,Igor Rivin,Vladimir Shpilrain,Alexander Ushakov,Pascal Weil
Complexity and Randomness in Group Theory Book PDF

Author : Frédérique Bassino,Ilya Kapovich,Markus Lohrey,Alexei Miasnikov,Cyril Nicaud,Andrey Nikolaev,Igor Rivin,Vladimir Shpilrain,Alexander Ushakov,Pascal Weil
Publisher : Walter de Gruyter GmbH & Co KG
Page : 386 pages
File Size : 46,8 Mb
Release : 2020-06-08
Category : Mathematics
ISBN : 9783110667028

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Complexity and Randomness in Group Theory by Frédérique Bassino,Ilya Kapovich,Markus Lohrey,Alexei Miasnikov,Cyril Nicaud,Andrey Nikolaev,Igor Rivin,Vladimir Shpilrain,Alexander Ushakov,Pascal Weil Pdf

This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.

Groups and Model Theory

Olga Kharlampovich,Rizos Sklinos
Groups and Model Theory Book PDF

Author : Olga Kharlampovich,Rizos Sklinos
Publisher : Walter de Gruyter GmbH & Co KG
Page : 244 pages
File Size : 46,9 Mb
Release : 2021-05-10
Category : Mathematics
ISBN : 9783110719710

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Groups and Model Theory by Olga Kharlampovich,Rizos Sklinos Pdf

This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .

Mathematics Going Forward

Jean-Michel Morel,Bernard Teissier
Mathematics Going Forward Book PDF

Author : Jean-Michel Morel,Bernard Teissier
Publisher : Springer Nature
Page : 629 pages
File Size : 42,7 Mb
Release : 2023-06-14
Category : Mathematics
ISBN : 9783031122446

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Mathematics Going Forward by Jean-Michel Morel,Bernard Teissier Pdf

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

An Introduction to Group Rings

César Polcino Milies,S.K. Sehgal
An Introduction to Group Rings Book PDF

Author : César Polcino Milies,S.K. Sehgal
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 49,9 Mb
Release : 2002-01-31
Category : Mathematics
ISBN : 1402002386

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An Introduction to Group Rings by César Polcino Milies,S.K. Sehgal Pdf

to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-1-4020-0239-7 ISBN 978-94-010-0405-3 (eBook) DOI 10.1007/978-94-010-0405-3 Printed an acid-free paper AII Rights Reserved (c) 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcover reprint ofthe hardcover Ist edition 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, inc1uding photocopying, recording Of by any information storage and retrieval system, without written permis sion from the copyright owner. Contents Preface ix 1 Groups 1 1.1 Basic Concepts . . . . . . . . . . . . 1 1.2 Homomorphisms and Factor Groups 10 1.3 Abelian Groups . 18 1.4 Group Actions, p-groups and Sylow Subgroups 21 1.5 Solvable and Nilpotent Groups 27 1.6 FC Groups .

Unit Groups of Classical Rings

Gregory Karpilovsky
Unit Groups of Classical Rings Book PDF

Author : Gregory Karpilovsky
Publisher : Unknown
Page : 392 pages
File Size : 49,7 Mb
Release : 1988
Category : Mathematics
ISBN : UCAL:B4407308

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Unit Groups of Classical Rings by Gregory Karpilovsky Pdf

The purpose of this book is to give a self-contained, up-to-date account of the structure of unit groups of classical rings. In so doing, the work draws together four areas of mathematics: ring theory, group theory, group representation theory, and algebraic number theory. The ensuing interplay between these disciplines provides a unique source of enrichment for each of them. The main theme centers on two related problems: to determine the isomorphism class of the unit group (U)R of ring R in terms of natural invariants associated with R; and to find an effective method for the construction of units of ring R. Various threads of the development are tied together to convey a comprehensive picture of the current state of the subject. Examples are provided to help research workers who need to compute explicitly unit groups of certain rings. A familiarity with basic ring-theoretic and group-theoretic concepts is assumed, but a chapter on algebraic preliminaries is included. The text is distinguished by its very clear exposition.

Advances In Number Theory And Applied Analysis

Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam
Advances In Number Theory And Applied Analysis Book PDF

Author : Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam
Publisher : World Scientific
Page : 463 pages
File Size : 41,8 Mb
Release : 2023-05-08
Category : Mathematics
ISBN : 9789811272615

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Advances In Number Theory And Applied Analysis by Pradip Debnath,Hari M Srivastava,Kalyan Chakraborty,Poom Kumam Pdf

Presently, the exploration of the applications of different techniques and tools of number theory and mathematical analysis are extensively prevalent in various areas of engineering, mathematical, physical, biological and statistical sciences. This book will present the most recent developments in these two fields through contributions from eminent scientists and mathematicians worldwide.The book will present the current state of the art development in these two areas through original new contributions and surveys. As such, readers will find several useful tools and techniques to develop their skills and expertise in number theory and applied analysis. New research directions are also indicated in each of the chapters. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in number theory and mathematical analysis. The readers of this book will require minimum prerequisites of analysis, topology, number theory and functional analysis.

Number Theory

Kağan Kurşungöz,Ayberk Zeytin
Number Theory Book PDF

Author : Kağan Kurşungöz,Ayberk Zeytin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 112 pages
File Size : 41,9 Mb
Release : 2021-11-08
Category : Mathematics
ISBN : 9783110761115

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Number Theory by Kağan Kurşungöz,Ayberk Zeytin Pdf

Three major branches of number theory are included in the volume: namely analytic number theory, algebraic number theory, and transcendental number theory. Original research is presented that discusses modern techniques and survey papers from selected academic scholars.

Operator Theory

Aref Jeribi
Operator Theory Book PDF

Author : Aref Jeribi
Publisher : Walter de Gruyter GmbH & Co KG
Page : 228 pages
File Size : 49,9 Mb
Release : 2021-03-22
Category : Mathematics
ISBN : 9783110598193

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Operator Theory by Aref Jeribi Pdf

This proceedings volume collects select contributions presented at the International Conference in Operator Theory held at Hammamet, Tunisia, on April 30 May 3, 2018. Edited and refereed by well-known experts in the field, this wide-ranging collection of survey and research articles presents the state of the art in the field of operator theory, covering topics such as operator and spectral theory, fixed point theory, functional analysis etc.

Mean Curvature Flow

Theodora Bourni,Mat Langford
Mean Curvature Flow Book PDF

Author : Theodora Bourni,Mat Langford
Publisher : Walter de Gruyter GmbH & Co KG
Page : 149 pages
File Size : 43,8 Mb
Release : 2020-12-07
Category : Mathematics
ISBN : 9783110618365

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Mean Curvature Flow by Theodora Bourni,Mat Langford Pdf

With contributions by leading experts in geometric analysis, this volume is documenting the material presented in the John H. Barrett Memorial Lectures held at the University of Tennessee, Knoxville, on May 29 - June 1, 2018. The central topic of the 2018 lectures was mean curvature flow, and the material in this volume covers all recent developments in this vibrant area that combines partial differential equations with differential geometry.