A conjugacy criterion for Hall subgroups in finite groups

D. O. Revin; E. P. Vdovin

doi:10.1007/s11202-010-0041-4

A conjugacy criterion for Hall subgroups in finite groups

Group Theory 2010-08-17 v1

Authors: D. O. Revin , E. P. Vdovin

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

A finite group $G$ is said to satisfy $C_\pi$ for a set of primes $\pi$ , if $G$ possesses exactly one class of conjugate $\pi$ -Hall subgroups. In the paper we obtain a criterion for a finite group $G$ to satisfy $C_\pi$ in terms of a normal series of the group.

Keywords

finite group theory conjugacy classes in groups finite groups

Cite

@article{arxiv.1004.1245,
  title  = {A conjugacy criterion for Hall subgroups in finite groups},
  author = {D. O. Revin and E. P. Vdovin},
  journal= {arXiv preprint arXiv:1004.1245},
  year   = {2010}
}

Comments

Appear in Siberian Mathematical Journal, vol. 51 (2010), No3.

Related papers

View all related →