Computational And Statistical Group Theory

Author : Robert H. Gilman,Alexei G. Myasnikov,Vladimir Shpilrain
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 42,5 Mb
Release : 2002
Category : Mathematics
ISBN : 9780821831588

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Computational and Statistical Group Theory by Robert H. Gilman,Alexei G. Myasnikov,Vladimir Shpilrain Pdf

This book gives a nice overview of the diversity of current trends in computational and statistical group theory. It presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. It includes contributions by speakers at AMS Special Sessions at The University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, NJ). It is suitable for graduate students and research mathematicians interested in group theory.

Author : N.S. Narasimha Sastry,Manoj Kumar Yadav
Publisher : Springer
Page : 206 pages
File Size : 50,8 Mb
Release : 2018-09-21
Category : Mathematics
ISBN : 9789811320477

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Group Theory and Computation by N.S. Narasimha Sastry,Manoj Kumar Yadav Pdf

This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.

Author : Robert Gilman
Publisher : Unknown
Page : 124 pages
File Size : 45,9 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:1076140664

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Computational and statistical group theory by Robert Gilman Pdf

Author : Derek F. Holt,Bettina Eick,Eamonn A. O'Brien
Publisher : CRC Press
Page : 532 pages
File Size : 41,8 Mb
Release : 2005-01-13
Category : Mathematics
ISBN : 9781420035216

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Handbook of Computational Group Theory by Derek F. Holt,Bettina Eick,Eamonn A. O'Brien Pdf

The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundame

Author : Alexander Hulpke
Publisher : Walter de Gruyter
Page : 288 pages
File Size : 44,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9783110182200

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Finite Geometries, Groups, and Computation by Alexander Hulpke Pdf

Contains the proceedings of a conference on Finite Geometries, Groups, and Computation that took place in September 4-9, 2004, at Pingree Park, Colorado (a campus of Colorado State University). This work serves to introduce both students and the mathematical community to the important topics and gives an overview of developments in these fields.

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 : 52,6 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.

Author : Oleg Bogopolski,Inna Bumagin,Olga Kharlampovich,Enric Ventura
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 55,8 Mb
Release : 2011-01-28
Category : Mathematics
ISBN : 9783764399115

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Combinatorial and Geometric Group Theory by Oleg Bogopolski,Inna Bumagin,Olga Kharlampovich,Enric Ventura Pdf

This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.

Author : Alexei G. Myasnikov,Vladimir Shpilrain
Publisher : American Mathematical Soc.
Page : 186 pages
File Size : 51,7 Mb
Release : 2004
Category : Language Arts & Disciplines
ISBN : 9780821834442

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Group Theory, Statistics, and Cryptography by Alexei G. Myasnikov,Vladimir Shpilrain Pdf

This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.

Author : Samuel J. Lomonaco,Howard E. Brandt
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 50,9 Mb
Release : 2002
Category : Computers
ISBN : 9780821821404

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Quantum Computation and Information by Samuel J. Lomonaco,Howard E. Brandt Pdf

This book is a collection of papers given by invited speakers at the first AMS Special Session on Quantum Computation and Information held at the January 2000 Annual Meeting of the AMS in Washington, DC. The papers in this volume give readers a broad introduction to the many mathematical research challenges posed by the new and emerging field of quantum computation and quantum information. Of particular interest is a long paper by Lomonaco and Kauffman discussing mathematical and computational aspects of the so-called hidden subgroup algorithm. This book is intended to help readers recognize that, as a result of this new field of quantum information science, mathematical research opportunities abound in such diverse mathematical fields as algebraic coding theory, algebraic geometry, algebraic topology, communication theory, control theory, cryptography, differential geometry, differential topology, dynamical systems, game theory, group theory, information theory, number theory, operator theory, robotics, theory of computation, mathematical logic, mathematical physics, and more. It is hoped that this book will act as a catalyst to encourage members of the mathematical community to take advantage of the many mathematical research opportunities arising from the ``grand challenge'' of Quantum Information Science. This book is the companion volume to Quantum Computation: A Grand Mathematical Challenge for the Twenty-First Century and the Millennium, PSAPM/58, Volume 58 in the Proceedings of Symposia in Applied Mathematics series.

Author : Zhangxin Chen,R. Glowinski,Kaitai Li
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 55,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821832615

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Current Trends in Scientific Computing by Zhangxin Chen,R. Glowinski,Kaitai Li Pdf

This volume contains 36 research papers written by prominent researchers. The papers are based on a large satellite conference on scientific computing held at the International Congress of Mathematics (ICM) in Xi'an, China. Topics covered include a variety of subjects in modern scientific computing and its applications, such as numerical discretization methods, linear solvers, parallel computing, high performance computing, and applications to solid and fluid mechanics, energy, environment, and semiconductors. The book will serve as an excellent reference work for graduate students and researchers working with scientific computing for problems in science and engineering.

Author : Richard A. Levine,Walter W. Piegorsch,Hao Helen Zhang,Thomas C. M. Lee
Publisher : John Wiley & Sons
Page : 672 pages
File Size : 44,8 Mb
Release : 2022-03-23
Category : Mathematics
ISBN : 9781119561088

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Computational Statistics in Data Science by Richard A. Levine,Walter W. Piegorsch,Hao Helen Zhang,Thomas C. M. Lee Pdf

Ein unverzichtbarer Leitfaden bei der Anwendung computergestützter Statistik in der modernen Datenwissenschaft In Computational Statistics in Data Science präsentiert ein Team aus bekannten Mathematikern und Statistikern eine fundierte Zusammenstellung von Konzepten, Theorien, Techniken und Praktiken der computergestützten Statistik für ein Publikum, das auf der Suche nach einem einzigen, umfassenden Referenzwerk für Statistik in der modernen Datenwissenschaft ist. Das Buch enthält etliche Kapitel zu den wesentlichen konkreten Bereichen der computergestützten Statistik, in denen modernste Techniken zeitgemäß und verständlich dargestellt werden. Darüber hinaus bietet Computational Statistics in Data Science einen kostenlosen Zugang zu den fertigen Einträgen im Online-Nachschlagewerk Wiley StatsRef: Statistics Reference Online. Außerdem erhalten die Leserinnen und Leser: * Eine gründliche Einführung in die computergestützte Statistik mit relevanten und verständlichen Informationen für Anwender und Forscher in verschiedenen datenintensiven Bereichen * Umfassende Erläuterungen zu aktuellen Themen in der Statistik, darunter Big Data, Datenstromverarbeitung, quantitative Visualisierung und Deep Learning Das Werk eignet sich perfekt für Forscher und Wissenschaftler sämtlicher Fachbereiche, die Techniken der computergestützten Statistik auf einem gehobenen oder fortgeschrittenen Niveau anwenden müssen. Zudem gehört Computational Statistics in Data Science in das Bücherregal von Wissenschaftlern, die sich mit der Erforschung und Entwicklung von Techniken der computergestützten Statistik und statistischen Grafiken beschäftigen.

Author : Alexei Myasnikov,Vladimir Shpilrain,Alexander Ushakov
Publisher : Springer Science & Business Media
Page : 192 pages
File Size : 50,6 Mb
Release : 2008-11-04
Category : Mathematics
ISBN : 9783764388270

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Group-based Cryptography by Alexei Myasnikov,Vladimir Shpilrain,Alexander Ushakov Pdf

Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.

Author : Alla Detinko,Dane Flannery,Eamonn O'Brien
Publisher : Springer
Page : 124 pages
File Size : 47,5 Mb
Release : 2013-01-13
Category : Mathematics
ISBN : 9781447148142

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Probabilistic Group Theory, Combinatorics, and Computing by Alla Detinko,Dane Flannery,Eamonn O'Brien Pdf

Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the interface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main open problems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up to the very latest developments. One primary aim of the book’s approach and design is to enable postgraduate students to make immediate use of the material presented.

Author : Alexandre Borovik,Alexei G. Myasnikov
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 45,6 Mb
Release : 2004
Category : Mathematics
ISBN : 9780821834831

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Computational and Experimental Group Theory by Alexandre Borovik,Alexei G. Myasnikov Pdf

The focus of algorithmic group theory shifted from the decidability/undecidability type of result to the complexity of algorithms. This title contains papers that reflect that paradigm shift. It presents articles that are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science.

Author : Celine Carstensen-Opitz,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger
Publisher : Walter de Gruyter GmbH & Co KG
Page : 421 pages
File Size : 43,8 Mb
Release : 2019-09-02
Category : Mathematics
ISBN : 9783110603996

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Abstract Algebra by Celine Carstensen-Opitz,Benjamin Fine,Anja Moldenhauer,Gerhard Rosenberger Pdf

A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written account of the theoretical foundations and it also includes a chapter on cryptography. End of chapter problems help readers with accessing the subjects.