Automorphisms of finite groups
著者
書誌事項
Automorphisms of finite groups
Springer, c2018 , [Printforce]
- : [hardcover]
大学図書館所蔵 件 / 全1件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Description based on: [hardcover], c2018
[Reprint]. Originally published: Singapore : Springer , c2018
"Printed by Printforce, the Netherlands"--P. [226]
"(C) Springer Nature Singapore Pte Ltd. 2018"--T.p.verso
Originally issued in the series: Springer monographs in mathematics
Includes bibliographical references (p. 209-213) and index
内容説明・目次
内容説明
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.
目次
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.
「Nielsen BookData」 より
