Automorphisms of Finite Groups (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	Springer Monographs in Mathematics
Release date:	2019
First published:	2018
Authors:	Inder Bir Singh Passi • Mahender Singh • Manoj Kumar Yadav
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Hardcover
Pages:	217
Edition:	1st ed. 2018
ISBN-13:	978-981-13-2894-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	981-13-2894-3
Barcode:	9789811328947

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