English

On the maximal tori in finite linear and unitary groups

Group Theory 2019-08-08 v1

Abstract

To follow up on the results of [1], we propose a computationally efficient explicit cyclic decomposition of the maximal tori in the groups SLn(q)SL_n(q) and SUn(q)SU_n(q) and their projective images. We also derive some corollaries to simplify practical calculation of the maximal tori. The result is based on a generic cyclic decomposition of a finite abelian group which might also be of interest.

Keywords

Cite

@article{arxiv.1902.09083,
  title  = {On the maximal tori in finite linear and unitary groups},
  author = {Andrei V. Zavarnitsine},
  journal= {arXiv preprint arXiv:1902.09083},
  year   = {2019}
}