Yakov Berkovich Zvonimir Janko Groups Of Prime Power Order
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Groups of Prime Power Order by I︠A︡. G. Berkovich,Zvonimir Janko Pdf
Main description: This is the first of three volumes on finite p-group theory. It presents the state of the art and in addition contains numerous new and easy proofs of famous theorems, many exercises (some of them with solutions), and about 1500 open problems. It is expected to be useful to certain applied mathematics areas, such as combinatorics, coding theory, and computer sciences. The book should also be easily comprehensible to students and scientists with some basic knowledge of group theory and algebra.
Groups of Prime Power Order. Volume 2 by Yakov Berkovich,Zvonimir Janko Pdf
This is the second of three volumes devoted to elementary finite p-group theory. Similar to the first volume, hundreds of important results are analyzed and, in many cases, simplified. Important topics presented in this monograph include: (a) classification of p-groups all of whose cyclic subgroups of composite orders are normal, (b) classification of 2-groups with exactly three involutions, (c) two proofs of Ward's theorem on quaternion-free groups, (d) 2-groups with small centralizers of an involution, (e) classification of 2-groups with exactly four cyclic subgroups of order 2n > 2, (f) two new proofs of Blackburn's theorem on minimal nonmetacyclic groups, (g) classification of p-groups all of whose subgroups of index p2 are abelian, (h) classification of 2-groups all of whose minimal nonabelian subgroups have order 8, (i) p-groups with cyclic subgroups of index p2 are classified. This volume contains hundreds of original exercises (with all difficult exercises being solved) and an extended list of about 700 open problems. The book is based on Volume 1, and it is suitable for researchers and graduate students of mathematics with a modest background on algebra.
Groups of Prime Power Order. Volume 3 by Yakov Berkovich,Zvonimir Janko Pdf
This is the third volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume: impact of minimal nonabelian subgroups on the structure of p-groups, classification of groups all of whose nonnormal subgroups have the same order, degrees of irreducible characters of p-groups associated with finite algebras, groups covered by few proper subgroups, p-groups of element breadth 2 and subgroup breadth 1, exact number of subgroups of given order in a metacyclic p-group, soft subgroups, p-groups with a maximal elementary abelian subgroup of order p2, p-groups generated by certain minimal nonabelian subgroups, p-groups in which certain nonabelian subgroups are 2-generator. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
Author : Yakov G. Berkovich,Zvonimir Janko Publisher : Walter de Gruyter GmbH & Co KG Page : 475 pages File Size : 47,7 Mb Release : 2015-12-14 Category : Mathematics ISBN : 9783110381559
Groups of Prime Power Order by Yakov G. Berkovich,Zvonimir Janko Pdf
This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-groups Ishikawa’s theorem on p-groups with two sizes of conjugate classes p-central p-groups theorem of Kegel on nilpotence of H p-groups partitions of p-groups characterizations of Dedekindian groups norm of p-groups p-groups with 2-uniserial subgroups of small order The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra.
Author : Yakov G. Berkovich,Zvonimir Janko Publisher : Walter de Gruyter GmbH & Co KG Page : 433 pages File Size : 40,6 Mb Release : 2016-01-15 Category : Mathematics ISBN : 9783110295351
Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order. Volume 5 by Yakov G. Berkovich,Zvonimir Janko Pdf
This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
Yakov G. Berkovich,Lev S. Kazarin,Emmanuel M. Zhmud'
Author : Yakov G. Berkovich,Lev S. Kazarin,Emmanuel M. Zhmud' Publisher : Walter de Gruyter GmbH & Co KG Page : 725 pages File Size : 53,9 Mb Release : 2018-12-17 Category : Mathematics ISBN : 9783110224092
Yakov G. Berkovich; Lev S. Kazarin; Emmanuel M. Zhmud': Characters of Finite Groups. Volume 2 by Yakov G. Berkovich,Lev S. Kazarin,Emmanuel M. Zhmud' Pdf
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
Author : Yakov G. Berkovich,Zvonimir Janko Publisher : Walter de Gruyter GmbH & Co KG Page : 433 pages File Size : 54,7 Mb Release : 2016-01-15 Category : Mathematics ISBN : 9783110389043
Groups of Prime Power Order 5 by Yakov G. Berkovich,Zvonimir Janko Pdf
This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
Yakov G. Berkovich,Lev S. Kazarin,Emmanuel M. Zhmud'
Author : Yakov G. Berkovich,Lev S. Kazarin,Emmanuel M. Zhmud' Publisher : Walter de Gruyter GmbH & Co KG Page : 623 pages File Size : 54,9 Mb Release : 2017-12-18 Category : Mathematics ISBN : 9783110224078
Volume 1 by Yakov G. Berkovich,Lev S. Kazarin,Emmanuel M. Zhmud' Pdf
This updated edition of this classic book is devoted to ordinary representation theory and is addressed to finite group theorists intending to study and apply character theory. It contains many exercises and examples, and the list of problems contains a number of open questions.
Complex Algebraic Foliations by Alcides Lins Neto,Bruno Scárdua Pdf
This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the theory and utilizing methods from algebraic and complex geometry along with techniques from complex dynamics and several complex variables. The result is a solid introduction to the theory of foliations, covering basic concepts through modern results on the structure of foliations on complex projective spaces.
Author : Piotr A. Krylov,Askar A. Tuganbaev Publisher : Walter de Gruyter GmbH & Co KG Page : 337 pages File Size : 45,9 Mb Release : 2018-09-24 Category : Mathematics ISBN : 9783110609851
Modules over Discrete Valuation Rings by Piotr A. Krylov,Askar A. Tuganbaev Pdf
This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group. Contents Preliminaries Basic facts Endomorphism rings of divisible and complete modules Representation of rings by endomorphism rings Torsion-free modules Mixed modules Determinity of modules by their endomorphism rings Modules with many endomorphisms or automorphisms
Author : Anke Kalauch,Onno van Gaans Publisher : Walter de Gruyter GmbH & Co KG Page : 314 pages File Size : 41,6 Mb Release : 2018-11-19 Category : Mathematics ISBN : 9783110475449
Pre-Riesz Spaces by Anke Kalauch,Onno van Gaans Pdf
This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces
Identical Relations in Lie Algebras by Yuri Bahturin Pdf
This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.
Author : Yakov G. Berkovich,Zvonimir Janko Publisher : Walter de Gruyter GmbH & Co KG Page : 406 pages File Size : 41,7 Mb Release : 2018-06-25 Category : Mathematics ISBN : 9783110531008
Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order by Yakov G. Berkovich,Zvonimir Janko Pdf
This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1–5 and it is suitable for researchers and graduate students working in group theory.
Groups of Prime Power Order. Volume 1 by Yakov Berkovich Pdf
This is the first of three volumes of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this monograph include: (a) counting of subgroups, with almost all main counting theorems being proved, (b) regular p-groups and regularity criteria, (c) p-groups of maximal class and their numerous characterizations, (d) characters of p-groups, (e) p-groups with large Schur multiplier and commutator subgroups, (f) (p‒1)-admissible Hall chains in normal subgroups, (g) powerful p-groups, (h) automorphisms of p-groups, (i) p-groups all of whose nonnormal subgroups are cyclic, (j) Alperin's problem on abelian subgroups of small index. The book is suitable for researchers and graduate students of mathematics with a modest background on algebra. It also contains hundreds of original exercises (with difficult exercises being solved) and a comprehensive list of about 700 open problems.
Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps by Mariusz Urbański,Mario Roy,Sara Munday Pdf
The book contains a detailed treatment of thermodynamic formalism on general compact metrizable spaces. Topological pressure, topological entropy, variational principle, and equilibrium states are presented in detail. Abstract ergodic theory is also given a significant attention. Ergodic theorems, ergodicity, and Kolmogorov-Sinai metric entropy are fully explored. Furthermore, the book gives the reader an opportunity to find rigorous presentation of thermodynamic formalism for distance expanding maps and, in particular, subshifts of finite type over a finite alphabet. It also provides a fairly complete treatment of subshifts of finite type over a countable alphabet. Transfer operators, Gibbs states and equilibrium states are, in this context, introduced and dealt with. Their relations are explored. All of this is applied to fractal geometry centered around various versions of Bowen’s formula in the context of expanding conformal repellors, limit sets of conformal iterated function systems and conformal graph directed Markov systems. A unique introduction to iteration of rational functions is given with emphasize on various phenomena caused by rationally indifferent periodic points. Also, a fairly full account of the classicaltheory of Shub’s expanding endomorphisms is given; it does not have a book presentation in English language mathematical literature.
