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The Theory of Classes of Groups (Hardcover, 2000 ed.) Loot Price: R1,626
Discovery Miles 16 260
The Theory of Classes of Groups (Hardcover, 2000 ed.): Guo Wenbin

The Theory of Classes of Groups (Hardcover, 2000 ed.)

Guo Wenbin

Series: Mathematics and Its Applications, 505

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Loot Price R1,626 Discovery Miles 16 260 | Repayment Terms: R152 pm x 12*

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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.

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 505
Release date: 2001
First published: 2000
Authors: Guo Wenbin
Dimensions: 235 x 155 x 17mm (L x W x T)
Format: Hardcover
Pages: 258
Edition: 2000 ed.
ISBN-13: 978-0-7923-6268-5
Categories: Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
Books > Science & Mathematics > Mathematics > Topology > General
LSN: 0-7923-6268-3
Barcode: 9780792362685

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