Powers of a product of commutators as products of squares
We prove that for any odd integer N and any integer n>0, the Nth power of a product of n commutators in a nonabelian free group of countable infinite rank can be expressed as a product of squares of 2n+1 elements and, for all such odd N and integers n, there are commutators for which the number...
Saved in:
Main Author: | Alireza Abdollahi |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2004-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171204304047 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Tensor products of commutative Banach algebras
by: U. B. Tewari, et al.
Published: (1982-01-01) -
Rings and groups with commuting powers
by: Hazar Abu-Khuzam, et al.
Published: (1981-01-01) -
Product and Commutativity of kth-Order Slant Toeplitz Operators
by: Chaomei Liu, et al.
Published: (2013-01-01) -
Self-Commutators of Composition Operators with Monomial Symbols on the Dirichlet Space
by: A. Abdollahi, et al.
Published: (2011-01-01) -
On the power-commutative kernel of locally nilpotent groups
by: Costantino Delizia, et al.
Published: (2005-01-01)