Permutation-like Matrix Groups with a Maximal Cycle of Prime Square Length
Group Theory
2013-11-27 v1
Abstract
A matrix group is said to be permutation-like if any matrix of the group is similar to a permutation matrix. G. Cigler proved that, if a permutation-like matrix group contains a normal cyclic subgroup which is generated by a maximal cycle and the matrix dimension is a prime, then the group is similar to a permutation matrix group. This paper extends the result to the case where the matrix dimension is a square of a prime.
Cite
@article{arxiv.1311.6583,
title = {Permutation-like Matrix Groups with a Maximal Cycle of Prime Square Length},
author = {Guodong Deng and Yun Fan},
journal= {arXiv preprint arXiv:1311.6583},
year = {2013}
}