Elements in finite classical groups whose powers have large 1-Eigenspaces
Group Theory
2014-05-13 v1
Abstract
We estimate the proportion of several classes of elements in finite classical groups which are readily recognised algorithmically, and for which some power has a large fixed point subspace and acts irreducibly on a complement of it. The estimates are used in complexity analyses of new recognition algorithms for finite classical groups in arbitrary characteristic.
Cite
@article{arxiv.1405.2385,
title = {Elements in finite classical groups whose powers have large 1-Eigenspaces},
author = {Alice C. Niemeyer and Cheryl E. Praeger},
journal= {arXiv preprint arXiv:1405.2385},
year = {2014}
}