Verbal Subgroups of Tr(∞,K)

2013 ◽  
Vol 42 (1) ◽  
pp. 73-80 ◽  
Author(s):  
R. Słowik
Keyword(s):  
Verbal Subgroups

On the definability of verbal subgroups

2001 ◽  
Vol 40 (7) ◽  
pp. 525-529
Author(s):  
Françcoise Point
Keyword(s):  
Verbal Subgroups

scholarly journals Verbal subgroups of hyperbolic groups have infinite width

2014 ◽  
Vol 90 (2) ◽  
pp. 573-591 ◽  
Author(s):  
Alexei Myasnikov ◽  
Andrey Nikolaev
Keyword(s):  
Hyperbolic Groups ◽  
Verbal Subgroups

scholarly journals The palindromic width of a free product of groups

2006 ◽  
Vol 81 (2) ◽  
pp. 199-208 ◽  
Author(s):  
Valery Bardakov ◽  
Vladimir Tolstykh
Keyword(s):  
Free Product ◽  
Free Groups ◽  
Uniform Bound ◽  
Free Products ◽  
Cyclic Groups ◽  
Similar Fact ◽  
Products Of Groups ◽  
Free Product Of Groups ◽  
Verbal Subgroups ◽  
Product Of Groups

AbstractPalindromes are those reduced words of free products of groups that coincide with their reverse words. We prove that a free product of groups G has infinite palindromic width, provided that G is not the free product of two cyclic groups of order two (Theorem 2.4). This means that there is no uniform bound k such that every element of G is a product of at most k palindromes. Earlier, the similar fact was established for non-abelian free groups. The proof of Theorem 2.4 makes use of the ideas by Rhemtulla developed for the study of the widths of verbal subgroups of free products.

Sign in / Sign up

Export Citation Format

Share Document