English

On the existence of Carter subgroups

Group Theory 2010-08-17 v1

Abstract

In the paper we obtain the existence criterion of a Carter subgroup in a finite group in terms of its normal series. An example showing that the criterion cannot be reformulated in terms of composition factors is given.

Keywords

Cite

@article{arxiv.math/0603560,
  title  = {On the existence of Carter subgroups},
  author = {Vdovin Evgenii},
  journal= {arXiv preprint arXiv:math/0603560},
  year   = {2010}
}
R2 v1 2026-07-22T17:33:17.081Z