Books > Science & Mathematics > Mathematics > Algebra
|
Not currently available
The Burnside Problem and Identities in Groups (Hardcover)
Loot Price: R2,015
Discovery Miles 20 150
You Save: R151
(7%)
|
|
The Burnside Problem and Identities in Groups (Hardcover)
Series: Ergebnisse der Mathematik und Ihrer Grenzgebiete. 2. Folge, 95
Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.
|
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
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.