Download EBOOK The Burnside Problem and Identities in Groups PDF for free


Download EBOOK The Burnside Problem and Identities in Groups PDF for free Category: Science & Geography
The author of the book: S.I. Adian
Format files: PDF, EPUB, TXT, DOCX
The size of the: 15.43 MB
Language: English
ISBN-13: 9783642669347
Edition: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date of issue: 16 December 2011

Description of the book "The Burnside Problem and Identities in Groups":

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 PDF (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

Download EBOOK The Burnside Problem and Identities in Groups PDF for free


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S.I. Adian

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Download EBOOK The Burnside Problem and Identities in Groups PDF for free



Download EBOOK The Burnside Problem and Identities in Groups for free

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