TY  - BOOK
AU  - Passi,Inder Bir Singh
AU  - Singh,Mahender
AU  - Yadav,Manoj Kumar
TI  - Automorphisms of finite groups
T2  - Springer Monographs in Mathematics,
SN  - 9789811328947
U1  - 512.542.2 
PY  - 2018///
CY  - Singapore
PB  - Springer Nature
KW  - Functions of complex variables
KW  - Group theory
KW  - Lie groups
KW  - Number theory
KW  - Topological groups
KW  - Automorphisms
KW  - Divisibility Property
KW  - Coclass tree
KW  - Central automorphism
KW  - Group cohomology
KW  - Schur multiplier
KW  - Uniform Lie algebra
N1  - Includes bibliographical references and index
N2  - 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
UR  - https://link.springer.com/content/pdf/bfm:978-981-13-2895-4/1
UR  - https://www.goodreads.com/book/show/53257734-automorphisms-of-finite-groups?ref=nav_sb_ss_4_30#CommunityReviews
ER  -