Nilpotent Groups and their Automorphisms

Nilpotent Groups and their Automorphisms

Author: Evgenii I. Khukhro

Publisher: Walter de Gruyter

Published: 2011-04-20

Total Pages: 269

ISBN-13: 3110846217

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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


The Theory of Infinite Soluble Groups

The Theory of Infinite Soluble Groups

Author: John C. Lennox

Publisher: Clarendon Press

Published: 2004-08-19

Total Pages: 360

ISBN-13: 0191523151

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The central concept in this monograph is that of a soluble group - a group which is built up from abelian groups by repeatedly forming group extensions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, whilst remaining fairly strictly within the boundaries of soluble group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.


Dirichlet Forms and Stochastic Processes

Dirichlet Forms and Stochastic Processes

Author: Zhi-Ming Ma

Publisher: Walter de Gruyter

Published: 1995

Total Pages: 362

ISBN-13: 9783110142846

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.


P-Automorphisms of Finite P-Groups

P-Automorphisms of Finite P-Groups

Author: Evgenii I. Khukhro

Publisher: Cambridge University Press

Published: 1998-02-13

Total Pages: 226

ISBN-13: 052159717X

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Ideal for graduate students and researchers working in group theory and Lie rings.


Automorphisms of Finite Groups

Automorphisms of Finite Groups

Author: Inder Bir Singh Passi

Publisher: Springer

Published: 2019-01-12

Total Pages: 231

ISBN-13: 9811328951

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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.


Proceedings of the International Conference on Algebra 2010

Proceedings of the International Conference on Algebra 2010

Author: Wanida Hemakul

Publisher: World Scientific

Published: 2012

Total Pages: 755

ISBN-13: 9814366307

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This volume is an outcome of the International Conference on Algebra in celebration of the 70th birthday of Professor Shum Kar-Ping which was held in Gadjah Mada University on 7?10 October 2010. As a consequence of the wide coverage of his research interest and work, it presents 54 research papers, all original and referred, describing the latest research and development, and addressing a variety of issues and methods in semigroups, groups, rings and modules, lattices and Hopf Algebra. The book also provides five well-written expository survey articles which feature the structure of finite groups by A Ballester-Bolinches, R Esteban-Romero, and Yangming Li; new results of Gr”bner-Shirshov basis by L A Bokut, Yuqun Chen, and K P Shum; polygroups and their properties by B Davvaz; main results on abstract characterizations of algebras of n-place functions obtained in the last 40 years by Wieslaw A Dudek and Valentin S Trokhimenko; Inverse semigroups and their generalizations by X M Ren and K P Shum. Recent work on cones of metrics and combinatorics done by M M Deza et al. is included.


Ischia Group Theory 2006

Ischia Group Theory 2006

Author: Akbar Rhemtulla

Publisher: World Scientific

Published: 2007

Total Pages: 277

ISBN-13: 9812707352

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This volume contains a collection of research articles by leading experts in group theory and some accessible surveys of recent research in the area. Together they provide an overview of the diversity of themes and applications that interest group theorists today. Topics covered in this volume include: combinatorial group theory, varieties of groups, orderable groups, conjugacy classes, profinite groups, probabilistic methods in group theory, graphs connected with groups, subgroup structure, and saturated formations.


Logic and Its Applications

Logic and Its Applications

Author: Andreas Blass

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 314

ISBN-13: 0821834746

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Two conferences, Logic and Its Applications in Algebra and Geometry and Combinatorial Set Theory, Excellent Classes, and Schanuel Conjecture, were held at the University of Michigan (Ann Arbor). These events brought together model theorists and set theorists working in these areas. This volume is the result of those meetings. It is suitable for graduate students and researchers working in mathematical logic.