English

Automorphisms of nonsplit extensions of 2-groups by $PSL_2(q)$

Group Theory 2021-11-02 v1

Abstract

We complete the description of automorphism groups of all nonsplit extensions of elementary abelian 22-groups by PSL2(q)PSL_2(q), with qq odd, for an irreducible induced action. An application of this result to the theory of π\pi-submaximal subgroups is given.

Keywords

Cite

@article{arxiv.2104.09201,
  title  = {Automorphisms of nonsplit extensions of 2-groups by $PSL_2(q)$},
  author = {Danila O. Revin and Andrei V. Zavarnitsine},
  journal= {arXiv preprint arXiv:2104.09201},
  year   = {2021}
}