Free Shipping on Order Over $60
AfterPay Available
The Burnside Problem and Identities in Groups

The Burnside Problem and Identities in Groups

by Sergej I. Adian
Paperback
Publication Date: 16/12/2011
  $169.73
or 4 easy payments of $42.43 with
afterpay
This item qualifies for FREE delivery
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
ISBN:
9783642669347
9783642669347
Category:
Algebra
Format:
Paperback
Publication Date:
16-12-2011
Language:
English
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country of origin:
Germany
Pages:
314
Dimensions (mm):
244x170x17mm
Weight:
0.57kg

This title is in stock with our Australian supplier and arrives at our Sydney warehouse within 10-15 working days of you placing an order.

Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.

Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:

ACT Metro  2 working days

NSW Metro  2 working days

NSW Rural  2 - 3 working days

NSW Remote  2 - 5 working days

NT Metro  3 - 6 working days

NT Remote  4 - 10 working days

QLD Metro  2 - 4 working days

QLD Rural  2 - 5 working days

QLD Remote  2 - 7 working days

SA Metro  2 - 5 working days

SA Rural  3 - 6 working days

SA Remote  3 - 7 working days

TAS Metro  3 - 6 working days

TAS Rural  3 - 6 working days

VIC Metro  2 - 3 working days

VIC Rural  2 - 4 working days

VIC Remote  2 - 5 working days

WA Metro  3 - 6 working days

WA Rural  4 - 8 working days

WA Remote  4 - 12 working days

You can find this item in:

Customer Reviews

Be the first to review The Burnside Problem and Identities in Groups.