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Automorphisms of finite groups

Passi, Inder Bir Singh.

Automorphisms of finite groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Automorphisms of finite groupsby Inder Bir Singh Passi, Mahender Singh, Manoj Kumar Yadav.
Author:	Passi, Inder Bir Singh.
other author:	Singh, Mahender.
Published:	Singapore :Springer Singapore :2018.
Description:	xix, 217 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Finite groups.
Online resource:	https://doi.org/10.1007/978-981-13-2895-4
ISBN:	9789811328954$q(electronic bk.)

Automorphisms of finite groups
Passi, Inder Bir Singh.

Automorphisms of finite groups[electronic resource] /by Inder Bir Singh Passi, Mahender Singh, Manoj Kumar Yadav. - Singapore :Springer Singapore :2018. - xix, 217 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

Introduction -- p-groups -- Fundamental exact sequence of Wells -- Automorphism groups of finite groups -- Groups with Divisibility Property-I -- Groups with Divisibility Property-II -- Groups without Divisibility Property.

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.

ISBN: 9789811328954$q(electronic bk.)

Standard No.: 10.1007/978-981-13-2895-4doiSubjects--Topical Terms:

245404
Finite groups.

LC Class. No.: QA171 / .P377 2018

Dewey Class. No.: 512.23

Automorphisms of finite groups
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100 1 $a Passi, Inder Bir Singh. $3 338110
245 1 0 $a Automorphisms of finite groups $h [electronic resource] / $c by Inder Bir Singh Passi, Mahender Singh, Manoj Kumar Yadav.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a xix, 217 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a Introduction -- p-groups -- Fundamental exact sequence of Wells -- Automorphism groups of finite groups -- Groups with Divisibility Property-I -- Groups with Divisibility Property-II -- Groups without Divisibility Property.
520 $a 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.
650 0 $a Finite groups. $3 245404
650 0 $a Automorphisms. $3 209310
650 1 4 $a Group Theory and Generalizations. $3 274819
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650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Number Theory. $3 274059
700 1 $a Singh, Mahender. $3 825924
700 1 $a Yadav, Manoj Kumar. $3 823441
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer monographs in mathematics. $3 557774
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950 $a Mathematics and Statistics (Springer-11649)