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Author : Richard M. Davitt
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (452 download)
Download or read book The Automorphism Group and Structure of Certain Classes of Finite P-groups written by Richard M. Davitt and published by . This book was released on 1969 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Evgenii I. Khukhro
Publisher : Cambridge University Press
ISBN 13 : 052159717X
Total Pages : 226 pages
Book Rating : 4.5/5 (215 download)
Download or read book P-Automorphisms of Finite P-Groups written by Evgenii I. Khukhro and published by Cambridge University Press. This book was released on 1998-02-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers working in group theory and Lie rings.
Author : James Edwin VanDeventer
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.3/5 (129 download)
Download or read book Some Theorems about the Automorphism Group of Certain P-groups written by James Edwin VanDeventer and published by . This book was released on 1970 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Inder Bir Singh Passi
Publisher : Springer
ISBN 13 : 9811328951
Total Pages : 217 pages
Book Rating : 4.8/5 (113 download)
Download or read book Automorphisms of Finite Groups written by Inder Bir Singh Passi and published by Springer. This book was released on 2019-01-12 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra.
Author : Charles Richard Leedham-Green
Publisher : Clarendon Press
ISBN 13 : 9780198535485
Total Pages : 356 pages
Book Rating : 4.5/5 (354 download)
Download or read book The Structure of Groups of Prime Power Order written by Charles Richard Leedham-Green and published by Clarendon Press. This book was released on 2002 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important monograph summarizing the development of a classification system of finite p-groups.
Author : MIMA. STANOJKOVSKI
Publisher :
ISBN 13 : 9781470468118
Total Pages : pages
Book Rating : 4.4/5 (681 download)
Download or read book INTENSE AUTOMORPHISMS OF FINITE GROUPS. written by MIMA. STANOJKOVSKI and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Clive Mortimer Reis
Publisher :
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (129 download)
Download or read book Automorphisms of Finite P-groups written by Clive Mortimer Reis and published by . This book was released on 1969 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Geir T. Helleloid
Publisher :
ISBN 13 : 9780549244103
Total Pages : 133 pages
Book Rating : 4.2/5 (441 download)
Download or read book Automorphism Groups of Finite P-groups written by Geir T. Helleloid and published by . This book was released on 2007 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis has three goals related to the automorphism groups of finite p-groups. The primary goal is to provide a complete proof of a theorem showing that, in some asymptotic sense, the automorphism group of almost every finite p-group is itself a p-group. We also give a survey of the extant results on automorphism groups of finite p-groups, focusing on the order of the automorphism groups and on known examples. Finally, we explore a connection between automorphisms of finite p-groups and Markov chains. Specifically, we define a family of Markov chains on an elementary abelian p -group and bound the convergence rate of some of those chains.
Author : Adolfo Ballester-Bolinches
Publisher : Springer Science & Business Media
ISBN 13 : 1402047193
Total Pages : 391 pages
Book Rating : 4.4/5 (2 download)
Download or read book Classes of Finite Groups written by Adolfo Ballester-Bolinches and published by Springer Science & Business Media. This book was released on 2006-07-10 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the latest achievements of the Theory of Classes of Finite Groups. It introduces some unpublished and fundamental advances in this Theory and provides a new insight into some classic facts in this area. By gathering the research of many authors scattered in hundreds of papers the book contributes to the understanding of the structure of finite groups by adapting and extending the successful techniques of the Theory of Finite Soluble Groups.
Author : Daniel Gorenstein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803912
Total Pages : 446 pages
Book Rating : 4.8/5 (39 download)
Download or read book The Classification of the Finite Simple Groups, Number 3 written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1994 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Jean Dieudonné
Publisher : American Mathematical Soc.
ISBN 13 : 0821812025
Total Pages : 131 pages
Book Rating : 4.8/5 (218 download)
Download or read book On the Automorphisms of the Classical Groups written by Jean Dieudonné and published by American Mathematical Soc.. This book was released on 1951 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yakov Berkovich
Publisher : Walter de Gruyter
ISBN 13 : 3110208229
Total Pages : 533 pages
Book Rating : 4.1/5 (12 download)
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.
Author : Evgenii I. Khukhro
Publisher : Walter de Gruyter
ISBN 13 : 3110846217
Total Pages : 269 pages
Book Rating : 4.1/5 (18 download)
Download or read book Nilpotent Groups and their Automorphisms written by Evgenii I. Khukhro and published by Walter de Gruyter. This book was released on 2011-04-20 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : Yakov Berkovich
Publisher : Walter de Gruyter
ISBN 13 : 3110254484
Total Pages : 669 pages
Book Rating : 4.1/5 (12 download)
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.
Author : Martyn R Dixon
Publisher : World Scientific
ISBN 13 : 9814518131
Total Pages : 322 pages
Book Rating : 4.8/5 (145 download)
Download or read book Sylow Theory, Formations And Fitting Classes In Locally Finite Groups written by Martyn R Dixon and published by World Scientific. This book was released on 1994-12-09 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.
Author : Alexander Bors
Publisher : American Mathematical Society
ISBN 13 : 1470465442
Total Pages : 108 pages
Book Rating : 4.4/5 (74 download)
Download or read book Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster written by Alexander Bors and published by American Mathematical Society. This book was released on 2023-07-31 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Yakov Berkovich
Publisher : Walter de Gruyter
ISBN 13 : 3110208237
Total Pages : 613 pages
Book Rating : 4.1/5 (12 download)
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.
