Name: The Theory of Classes of Groups (en Inglés)
Price: 247578.00 COP
Availability: InStock
Author: Guo Wenbin
ISBN: 9789401057851

portada The Theory of Classes of Groups (en Inglés)

Formato

Libro Físico

Autor

Guo Wenbin

Editorial

Springer

Idioma

Inglés

N° páginas

258

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.5 cm

Peso

0.39 kg.

ISBN13

9789401057851

Categorías

Cuestiones generales de la medicina
Algebra
Grupos matemáticos y teoría de grupos

The Theory of Classes of Groups (en Inglés)

Guo Wenbin (Autor) · Springer · Tapa Blanda

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Reseña del libro "The Theory of Classes of Groups (en Inglés)"

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.