English

On element orders in covers of finite simple groups of Lie type

Group Theory 2015-02-03 v3

Abstract

By a proper cover of a finite group G we mean an extension of a nontrivial finite group by G. Our purpose is to show that a proper cover of a finite simple group L of Lie type always contains an element whose order differs from the element orders of L provided that the Lie rank of L is sufficiently large.

Keywords

Cite

@article{arxiv.1401.7462,
  title  = {On element orders in covers of finite simple groups of Lie type},
  author = {M. A. Grechkoseeva},
  journal= {arXiv preprint arXiv:1401.7462},
  year   = {2015}
}

Comments

A new numeration of theorems and lemmas