Name: the burnside problem and identities in groups (en Inglés)
Price: 218305.00 COP
Availability: InStock
Author: Adian, Sergej I. ; Lennox, John ; Wiegold, James
ISBN: 9783642669347

portada the burnside problem and identities in groups (en Inglés)

the burnside problem and identities in groups (en Inglés)

Formato

Libro Físico

Autor

Traducido por

Editorial

Año

2011

Idioma

Inglés

N° páginas

314

Encuadernación

Tapa Blanda

Dimensiones

24.4 x 17.0 x 1.8 cm

Peso

0.53 kg.

ISBN

3642669344

ISBN13

9783642669347

Categorías

Álgebra
Grupos y teoría de grupos

the burnside problem and identities in groups (en Inglés)

Sergej I. Adian (Autor) · John Lennox (Traducido por) · James Wiegold (Traducido por) · Springer · Tapa Blanda

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Reseña del libro "the burnside problem and identities in groups (en Inglés)"

Three years have passed since the publication of the Russian edition of this book, during which time the method described has found new applications. In [26], the author has introduced the concept of the periodic product of two groups. For any two groups G and G without elements of order 2 and for any 1 2 odd n 665, a group G @ Gmay be constructed which possesses several in- 1 2 teresting properties. In G @ G there are subgroups 6 and 6 isomorphic to 1 2 1 2 G and G respectively, such that 6 and 6 generate G @ G and intersect 1 2 1 2 1 2 in the identity. This operation "@" is commutative, associative and satisfies Mal'cev's postulate (see [27], p. 474), i.e., it has a certain hereditary property for subgroups. For any element x which is not conjugate to an element of either 6 1 or 6, the relation xn = 1 holds in G @ G - From this it follows that when 2 1 2 G and G are periodic groups of exponent n, so is G @ G - In addition, if G 1 2 1 2 1 and G are free periodic groups of exponent n the group G @ G is also free 2 1 2 periodic with rank equal to the sum of the ranks of G and G - I believe that groups 1 2