Bounds for the relative n-th nilpotency degree in compact groups
Group Theory
2012-06-20 v4 Probability
Abstract
The line of investigation of the present paper goes back to a classical work of W. H. Gustafson of the 1973, in which it is described the probability that two randomly chosen group elements commute. In the same work, he gave some bounds for this kind of probability, providing information on the group structure. We have recently obtained some generalizations of his results for finite groups. Here we improve them in the context of the compact groups.
Keywords
Cite
@article{arxiv.0910.4716,
title = {Bounds for the relative n-th nilpotency degree in compact groups},
author = {Rashid Rezaei and Francesco G. Russo},
journal= {arXiv preprint arXiv:0910.4716},
year = {2012}
}
Comments
9 pages; to appear in Asian-European Journal of Mathematics with several improvements