Other authors / contributors:  Singh, Mahender, author.
Yadav, Manoj Kumar, author.

ISBN:  9789811328954 9811328951 9789811328947 9811328943 9789811328961 981132896X

Digital file characteristics:  text file PDF

Notes:  Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed January 21, 2019).

Summary:  The book describes developments on some wellknown 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 nonabelian group of primepower 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 selfcontained 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.

Other form:  Print version: Passi, Inder Bir S., 1939 Automorphisms of finite groups. Singapore : Springer, 2018 9811328943 9789811328947

Standard no.:  10.1007/9789811328954
