Maximal Non-commuting Sets in Certain Unipotent Upper-triangular Linear Groups
Number Theory
2017-02-08 v2
Abstract
We find the exact size of a maximal non-commuting set in unipotent uppertriangular linear group in terms of a non-commuting geometric structure (Refer Definition [10]), where is the finite field with elements. Then we get bounds on the size of such a set by explicitly finding certain non-commuting sets in the non-commuting structure.
Cite
@article{arxiv.1601.04133,
title = {Maximal Non-commuting Sets in Certain Unipotent Upper-triangular Linear Groups},
author = {C. P. Anil Kumar and S. K. Prajapati},
journal= {arXiv preprint arXiv:1601.04133},
year = {2017}
}
Comments
27 pages