Guo Wenbin

(Author)

The Theory of Classes of Groups (2000)Hardcover - 2000, 31 January 2001

The Theory of Classes of Groups (2000)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics & Its Applications (Unnumbered Hardcover)
Print Length
258 pages
Language
English
Publisher
Springer
Date Published
31 Jan 2001
ISBN-10
0792362683
ISBN-13
9780792362685

Description

One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g., groups, rings, Lie algebras, etc. ) continues along traditional lines. The early work on classes of alge- bras was concerned with showing that one class X of algebraic systems is actually contained in another class F. Modern research into the theory of classes was initiated in the 1930's by Birkhoff's work [1] on general varieties of algebras, and Neumann's work [1] on varieties of groups. A. I. Mal'cev made fundamental contributions to this modern development. ln his re- ports [1, 3] of 1963 and 1966 to The Fourth All-Union Mathematics Con- ference and to another international mathematics congress, striking the- ories of classes of algebraic systems were presented. These were later included in his book [5]. International interest in the theory of formations of finite groups was aroused, and rapidly heated up, during this time, thanks to the work of Gaschiitz [8] in 1963, and the work of Carter and Hawkes [1] in 1967. The major topics considered were saturated formations, Fitting classes, and Schunck classes. A class of groups is called a formation if it is closed with respect to homomorphic images and subdirect products. A formation is called saturated provided that G E F whenever Gjip(G) E F.

Product Details

Author:
Guo Wenbin
Book Edition:
2000
Book Format:
Hardcover
Country of Origin:
US
Date Published:
31 January 2001
Dimensions:
23.39 x 15.6 x 1.75 cm
ISBN-10:
0792362683
ISBN-13:
9780792362685
Language:
English
Location:
Dordrecht
Pages:
258
Publisher:
Weight:
562.45 gm

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