•
A Combinatorial Problem in Infinite
Group
Alireza Abdollahi |
Abstract.
Let 
be a word in the free group of rank 
and let 
be the variety of groups defined by the law 
. |
Define 
to be the class of all groups 
in which for any 
infinite subsets  there
exist  ,
|
 ,
such that  .
Clearly,  ;  being the class of finite groups. In this paper, we |
investigate some words w
and some certain classes  of groups for which
the equality  holds.
Full text: PDF
|
| |
