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040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082	0	4	_a512.542.2 _bPAS-A
100	1		_aPassi, Inder Bir Singh
245	1	0	_aAutomorphisms of finite groups
260			_aSingapore : _bSpringer Nature, _c2018.
300			_axix, 217p.
490			_aSpringer Monographs in Mathematics, _x1439-7382
504			_aIncludes bibliographical references and index.
520			_aThe 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.
650		0	_aFunctions of complex variables.
650		0	_aGroup theory.
650		0	_aLie groups.
650		0	_aNumber theory.
650		0	_aTopological groups.
650		0	_aAutomorphisms.
650		0	_aDivisibility Property
650		0	_aCoclass tree
650		0	_aCentral automorphism
650		0	_aGroup cohomology
650		0	_aSchur multiplier
650		0	_aUniform Lie algebra
700	1		_aSingh, Mahender
700	1		_aYadav, Manoj Kumar
856			_3Table of Content _uhttps://link.springer.com/content/pdf/bfm:978-981-13-2895-4/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/53257734-automorphisms-of-finite-groups?ref=nav_sb_ss_4_30#CommunityReviews
942			_cBK _2udc
999			_c35015 _d35015