Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Automorphisms of Finite Groups

Automorphisms of Finite Groups

Singh, Mahender
Yadav, Manoj Kumar
Passi, Inder Bir Singh

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 9811328943
ISBN13: 9789811328947
Publisher: Springer
Published: Jan 22 2019
Pages: 217
Weight: 1.13
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English

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.

Also from

Passi, Inder Bir Singh

View All

Also in

Algebra

View All