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The Burnside Problem and Identities in Groups (Paperback, Softcover reprint of the original 1st ed. 1979) Loot Price: R1,545
Discovery Miles 15 450
The Burnside Problem and Identities in Groups (Paperback, Softcover reprint of the original 1st ed. 1979): Sergej I. Adian

The Burnside Problem and Identities in Groups (Paperback, Softcover reprint of the original 1st ed. 1979)

Sergej I. Adian; Translated by John Lennox, James Wiegold

Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 95

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Loot Price R1,545 Discovery Miles 15 450 | Repayment Terms: R145 pm x 12*

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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

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 95
Release date: December 2011
First published: 1979
Authors: Sergej I. Adian
Translators: John Lennox • James Wiegold
Dimensions: 244 x 170 x 17mm (L x W x T)
Format: Paperback
Pages: 314
Edition: Softcover reprint of the original 1st ed. 1979
ISBN-13: 978-3-642-66934-7
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
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LSN: 3-642-66934-4
Barcode: 9783642669347

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