Automorphisms of Finite Groups by Inder Bir Singh Passi
English | PDF,EPUB | 2018 | 220 Pages | ISBN : 9811328943 | 23.4 MB
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.