Automorphisms of Finite Groups is popular PDF and ePub book, written by Inder Bir Singh Passi in 2019-01-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Automorphisms of Finite Groups can be Read Online from any device for your convenience.
Automorphisms of Finite Groups Book PDF Summary
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.
Detail Book of Automorphisms of Finite Groups PDF
- Author : Inder Bir Singh Passi
- Release : 12 January 2019
- Publisher : Springer
- ISBN : 9789811328954
- Genre : Mathematics
- Total Page : 217 pages
- Language : English
- PDF File Size : 21,7 Mb
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