عنوان

A Course in the Theory of Groups

شابک

9781441985941

شابک

9781461264439

شماره

b402573

عنوان اصلي

A Course in the Theory of Groups

نام عام مواد

[Book]

نام نخستين پديدآور

by Derek J. S. Robinson.

وضعيت ويراست

Second Edition.

محل نشرو پخش و غیره

New York, NY :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1996.

عنوان فروست

Graduate Texts in Mathematics,

مشخصه جلد

80

شاپا ي ISSN فروست

0072-5285 ;

متن يادداشت

1 Fundamental Concepts of Group Theory -- 2 Free Groups and Presentations -- 3 Decompositions of a Group -- 4 Abelian Groups -- 5 Soluble and Nilpotent Groups -- 6 Free Groups and Free Products -- 7 Finite Permutation Groups -- 8 Representations of Groups -- 9 Finite Soluble Groups -- 10 The Transfer and Its Applications -- 11 The Theory of Group Extensions -- 12 Generalizations of Nilpotent and Soluble Groups -- 13 Subnormal Subgroups -- 14 Finiteness Properties -- 15 Infinite Soluble Groups.

بدون عنوان

0

متن يادداشت

A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra. This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties.

شماره استاندارد بين المللي کتاب و موسيقي

9781461264439

عنوان

Springer eBooks

موضوع مستند نشده

Group theory.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Robinson, Derek J. S.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301080200.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y