English

On the structure of groups, possessing Carter subgroups of odd order

Group Theory 2015-04-01 v1

Abstract

In the note we prove that all composition factors of a finite group possessing a Carter subgroup of odd order either are abelain, or are isomorphic to L2(32n+1)L_2(3^{2n+1}).

Keywords

Cite

@article{arxiv.1503.08907,
  title  = {On the structure of groups, possessing Carter subgroups of odd order},
  author = {E. P. Vdovin},
  journal= {arXiv preprint arXiv:1503.08907},
  year   = {2015}
}