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Author : E. I. Khukhro
Publisher :
ISBN 13 : 9781139885386
Total Pages : pages
Book Rating : 4.8/5 (853 download)
Download or read book P-automorphisms of Finite P-groups written by E. I. Khukhro and published by . This book was released on 1997 with total page 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 : Evgenii I. Khukhro
Publisher :
ISBN 13 : 9781107367517
Total Pages : 224 pages
Book Rating : 4.3/5 (675 download)
Download or read book P-Automorphisms of Finite P-Groups written by Evgenii I. Khukhro and published by . This book was released on 1998 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate students and researchers working in group theory and Lie rings.
Author : M. Aschbacher
Publisher : Cambridge University Press
ISBN 13 : 9780521786751
Total Pages : 320 pages
Book Rating : 4.7/5 (867 download)
Download or read book Finite Group Theory written by M. Aschbacher and published by Cambridge University Press. This book was released on 2000-06-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the basic foundations for the local theory of finite groups, the theory of classical linear groups, and the theory of buildings and BN-pairs.
Author : Virginia Heck Bercegeay
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (162 download)
Download or read book Automorphisms of Finite P-groups written by Virginia Heck Bercegeay and published by . This book was released on 1968 with total page 48 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 : 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 : Mima Stanojkovski
Publisher : American Mathematical Society
ISBN 13 : 1470450038
Total Pages : 117 pages
Book Rating : 4.4/5 (74 download)
Download or read book Intense Automorphisms of Finite Groups written by Mima Stanojkovski and published by American Mathematical Society. This book was released on 2021-12-09 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Gabor Lukacs
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (87 download)
Download or read book P-Automorphisms of Lie P-rings and Finite P-groups written by Gabor Lukacs and published by . This book was released on 1999 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Clive Mortimer Reis
Publisher :
ISBN 13 :
Total Pages : 112 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 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yakov G. Berkovich
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110533146
Total Pages : 406 pages
Book Rating : 4.1/5 (15 download)
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.
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 : J. D. Dixon
Publisher : Cambridge University Press
ISBN 13 : 9780521542180
Total Pages : 392 pages
Book Rating : 4.5/5 (421 download)
Download or read book Analytic Pro-P Groups written by J. D. Dixon and published by Cambridge University Press. This book was released on 2003-09-18 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date treatment of analytic pro-p groups for graduate students and researchers.
Author : Marcus du Sautoy
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641719
Total Pages : 444 pages
Book Rating : 4.6/5 (417 download)
Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2000-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Author : Robert A. Morris
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (268 download)
Download or read book On Finite P-groups with Maximal Automorphism Groups written by Robert A. Morris and published by . This book was released on 1965 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
