Conjugacy classes of centralizers in the group of upper triangular matrices
Group Theory
2019-01-24 v1
Abstract
Let G be a group. Two elements x and y in G are said to be in the same z-class if their centralizers in G are conjugate within G. In this paper, we prove that the number of z-classes in the group of upper triangular matrices is infinite provided that the field is infinite and size of the matrices is at least 6, and finite otherwise.
Cite
@article{arxiv.1901.07869,
title = {Conjugacy classes of centralizers in the group of upper triangular matrices},
author = {Sushil Bhunia},
journal= {arXiv preprint arXiv:1901.07869},
year = {2019}
}
Comments
15 pages