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Groups Of Prime Power Order Volume 1
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Book Synopsis Groups of Prime Power Order. Volume 1 by : Yakov Berkovich
Download or read book Groups of Prime Power Order. Volume 1 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2008-12-10 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order by : Yakov G. Berkovich
Download or read book Yakov Berkovich; Zvonimir Janko: Groups of Prime Power Order written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-25 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups of Prime Power Order. Volume 5 by : Yakov G. Berkovich
Download or read book Groups of Prime Power Order. Volume 5 written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-01-15 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups of Prime Power Order by : Yakov G. Berkovich
Download or read book Groups of Prime Power Order written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-12-14 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups of Prime Power Order. Volume 3 by : Yakov Berkovich
Download or read book Groups of Prime Power Order. Volume 3 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2011-06-30 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups of Prime Power Order. Volume 2 by : Yakov Berkovich
Download or read book Groups of Prime Power Order. Volume 2 written by Yakov Berkovich and published by Walter de Gruyter. This book was released on 2008-12-10 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups of Prime Power Order by : Yakov G. Berkovich
Download or read book Groups of Prime Power Order written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-12-14 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups St Andrews 2005: Volume 1 by : C. M. Campbell
Download or read book Groups St Andrews 2005: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2007-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from 'Groups St Andrews 2005' cover a wide spectrum of modern group theory.
Book Synopsis Complex Algebraic Foliations by : Alcides Lins Neto
Download or read book Complex Algebraic Foliations written by Alcides Lins Neto and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-24 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Pre-Riesz Spaces written by Anke Kalauch and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Modules over Discrete Valuation Rings by : Piotr A. Krylov
Download or read book Modules over Discrete Valuation Rings written by Piotr A. Krylov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-09-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. ContentsPreliminariesBasic factsEndomorphism rings of divisible and complete modulesRepresentation of rings by endomorphism ringsTorsion-free modulesMixed modulesDeterminity of modules by their endomorphism ringsModules with many endomorphisms or automorphisms
Book Synopsis Identical Relations in Lie Algebras by : Yuri Bahturin
Download or read book Identical Relations in Lie Algebras written by Yuri Bahturin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-08-23 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Groups '93 Galway/St Andrews: Volume 1 by : C. M. Campbell
Download or read book Groups '93 Galway/St Andrews: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 1995-03-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representing the wealth and diversity of group theory for experienced researchers as well as new postgraduates, this two-volume book contains selected papers from the international conference which was held at University College Galway in August 1993.
Book Synopsis Groups St Andrews 2001 in Oxford: Volume 1 by : C. M. Campbell
Download or read book Groups St Andrews 2001 in Oxford: Volume 1 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2003-11-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.
Download or read book Volume 1 written by Yakov G. Berkovich and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-12-18 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Collected Papers of William Burnside: 1900-1926 by : William Burnside
Download or read book The Collected Papers of William Burnside: 1900-1926 written by William Burnside and published by . This book was released on 2004 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.
Book Synopsis Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps by : Mariusz Urbański
Download or read book Ergodic Theory – Finite and Infinite, Thermodynamic Formalism, Symbolic Dynamics and Distance Expanding Maps written by Mariusz Urbański and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
