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On Finite Groups Whose Group Of Automorphisms Is Abelian
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Book Synopsis On Finite Groups Whose Group of Automorphisms is Abelian by : Bruce Edward Earnley
Download or read book On Finite Groups Whose Group of Automorphisms is Abelian written by Bruce Edward Earnley and published by . This book was released on 1975 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automorphisms of Finite Groups by : Inder Bir Singh Passi
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.
Book Synopsis The Classification of Minimal Graphs with Given Abelian Automorphism Group by : William C. Arlinghaus
Download or read book The Classification of Minimal Graphs with Given Abelian Automorphism Group written by William C. Arlinghaus and published by American Mathematical Soc.. This book was released on 1985 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Any finite abstract group can be realized as the automorphism group of a graph. The purpose of this memoir is to find the realization, for each finite abelian group, with the least number of vertices possible. The results are extended to all finite abelian groups. Thus a complete classification is provided for minimal graphs with given finite abelian automorphism group.
Book Synopsis Theory and Applications of Finite Groups by : George Abram Miller
Download or read book Theory and Applications of Finite Groups written by George Abram Miller and published by . This book was released on 1961 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis INTENSE AUTOMORPHISMS OF FINITE GROUPS. by : MIMA. STANOJKOVSKI
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:
Book Synopsis Nilpotent Groups and their Automorphisms by : Evgenii I. Khukhro
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
Download or read book Abelian Groups written by L. Fuchs and published by Elsevier. This book was released on 2014-07-15 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abelian Groups deals with the theory of abelian or commutative groups, with special emphasis on results concerning structure problems. More than 500 exercises of varying degrees of difficulty, with and without hints, are included. Some of the exercises illuminate the theorems cited in the text by providing alternative developments, proofs or counterexamples of generalizations. Comprised of 16 chapters, this volume begins with an overview of the basic facts on group theory such as factor group or homomorphism. The discussion then turns to direct sums of cyclic groups, divisible groups, and direct summands and pure subgroups, as well as Kulikov's basic subgroups. Subsequent chapters focus on the structure theory of the three main classes of abelian groups: the primary groups, the torsion-free groups, and the mixed groups. Applications of the theory are also considered, along with other topics such as homomorphism groups and endomorphism rings; the Schreier extension theory with a discussion of the group of extensions and the structure of the tensor product. In addition, the book examines the theory of the additive group of rings and the multiplicative group of fields, along with Baer's theory of the lattice of subgroups. This book is intended for young research workers and students who intend to familiarize themselves with abelian groups.
Book Synopsis Theory and Applications of Finite Groups by : G. Miller
Download or read book Theory and Applications of Finite Groups written by G. Miller and published by Applewood Books. This book was released on 2012-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automorphisms of Finite Groups by : Inder Bir S. Passi
Download or read book Automorphisms of Finite Groups written by Inder Bir S. Passi and published by . This book was released on 2018 with total page 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.--
Book Synopsis Infinite Abelian Groups by : Irving Kaplansky
Download or read book Infinite Abelian Groups written by Irving Kaplansky and published by Courier Dover Publications. This book was released on 2018-12-19 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise monograph presents the theory of infinite abelian groups in a convenient form and helps students acquire some of the techniques used in modern infinite algebra. 1969 edition.
Book Synopsis Finite Groups and Finite Geometries by : T. Tsuzuku
Download or read book Finite Groups and Finite Geometries written by T. Tsuzuku and published by Cambridge University Press. This book was released on 1982-01-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 1982 introduction to developments which had taken place in finite group theory related to finite geometries.
Book Synopsis Group Theory and Computation by : N.S. Narasimha Sastry
Download or read book Group Theory and Computation written by N.S. Narasimha Sastry and published by Springer. This book was released on 2018-09-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a blend of recent developments in theoretical and computational aspects of group theory. It presents the state-of-the-art research topics in different aspects of group theory, namely, character theory, representation theory, integral group rings, the Monster simple group, computational algorithms and methods on finite groups, finite loops, periodic groups, Camina groups and generalizations, automorphisms and non-abelian tensor product of groups. Presenting a collection of invited articles by some of the leading and highly active researchers in the theory of finite groups and their representations and the Monster group, with a focus on computational aspects, this book is of particular interest to researchers in the area of group theory and related fields of mathematics.
Book Synopsis Algebra, Analysis, and Associated Topics by : Sandeep Singh
Download or read book Algebra, Analysis, and Associated Topics written by Sandeep Singh and published by Springer Nature. This book was released on 2023-01-16 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific topics covered include maximal rotational hypersurfaces, k-Horadam sequences, quantum dynamical semigroups, and more. Additionally, several applications of algebraic number theory and analysis are presented. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
Book Synopsis Finite Group Theory by : I. Martin Isaacs
Download or read book Finite Group Theory written by I. Martin Isaacs and published by American Mathematical Soc.. This book was released on 2008-01-01 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur-Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal $p$-complement theorem.
Book Synopsis Actions of Finite Abelian Groups by : Czes Kosniowski
Download or read book Actions of Finite Abelian Groups written by Czes Kosniowski and published by Pitman Publishing. This book was released on 1978 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intense Automorphisms of Finite Groups by : Mima Stanojkovski
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.
Book Synopsis Automorphisms of Finite P-groups by : Clive Mortimer Reis
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: