Abstract
Let D be an infinite division ring with centre F and the group of infinite upper triangular invertible matrices indexed by over D. In this paper, we first show that if D is finite dimensional over F, then every element in whose diagonal entries are commutators of is a commutator of an infinite diagonal matrix and another infinite upper triangular matrix. Some applications are also shown. For example, if , then every element in the commutator subgroup of the Vershik-Kerov group is a commutator.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
