عنوان

Automorphisms of finite groups /

شابک

9789811328954

شابک

9789811328961

شابک

9811328951

شابک

981132896X

شابک اشتباه

9789811328947

شابک اشتباه

9811328943

عنوان اصلي

Automorphisms of finite groups /

نام عام مواد

[Book]

نام نخستين پديدآور

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

محل نشرو پخش و غیره

Singapore :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource

عنوان فروست

Springer monographs in mathematics,

شاپا ي ISSN فروست

1439-7382

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Intro; Preface; Acknowledgements; Contents; About the Authors; Notation; 1 Preliminaries on p-Groups; 1.1 Central Series; 1.2 Regular Groups; 1.3 Groups with Large Center; 1.4 Gaschütz's Theorem and Its Generalization; 1.5 Pro-p-Groups; 2 Fundamental Exact Sequence of Wells; 2.1 Cohomology of Groups; 2.2 Group Extensions; 2.3 Action of Cohomology Group on Extensions; 2.4 Action of Automorphism Group on Extensions; 2.5 Action of Automorphism Group on Cohomology; 2.6 Wells Map; 2.7 Wells Exact Sequence; 2.8 Extensions with Trivial Coupling; 2.9 Extension and Lifting of Automorphisms

متن يادداشت

3 Orders of Automorphism Groups of Finite Groups3.1 Schur Multiplier; 3.2 Automorphisms of Finite Abelian Groups; 3.3 Ledermann-Neumann's Theorem; 3.4 Green's Function; 3.5 Howarth's Function; 3.6 Hyde's Function; 4 Groups with Divisibility Property-I; 4.1 Reduction Results; 4.2 Groups of Nilpotency Class 2; 4.3 Groups with Metacyclic Central Quotient; 4.4 Modular Groups; 4.5 p-Abelian Groups; 4.6 Groups with Small Central Quotient; 5 Groups with Divisibility Property-II; 5.1 Groups of Order p7; 5.2 Groups of Coclass 2; 5.3 2-Groups of Fixed Coclass; 5.4 p2-Abelian p-Central Groups

متن يادداشت

5.5 Further Results6 Groups Without Divisibility Property; 6.1 Lie Algebras and Uniform Pro-p-Groups; 6.2 Existence of Groups Without Divisibility Property; References; Index

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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.--

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9789811328954

عنوان

Automorphisms of finite groups.

شماره استاندارد بين المللي کتاب و موسيقي

9789811328947

موضوع مستند نشده

Automorphisms.

موضوع مستند نشده

Finite groups.

موضوع مستند نشده

Automorphisms.

موضوع مستند نشده

Finite groups.

موضوع مستند نشده

MATHEMATICS-- Algebra-- Intermediate.

موضوع مستند نشده

MAT-- 002040

موضوع مستند نشده

PBG

موضوع مستند نشده

PBG

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Passi, Inder Bir S.,1939-

مستند نام اشخاص تاييد نشده

Singh, Mahender

مستند نام اشخاص تاييد نشده

Yadav, Manoj Kumar

تاريخ عمليات

20200823235004.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y