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

DOI10.1515/JGTH-2021-0067arXiv2104.09201MaRDI QIDQ6365609

A. V. Zavarnitsine, D. O. Revin

Publication date: 19 April 2021

Abstract: We complete the description of automorphism groups of all nonsplit extensions of elementary abelian $2$-groups by $PS{L}_2(q)$, with $q$ odd, for an irreducible induced action. An application of this result to the theory of $pi$-submaximal subgroups is given.

Mathematics Subject Classification ID

Simple groups (20E32) Cohomology of groups (20J06) Automorphism groups of groups (20F28) Simple groups: alternating groups and groups of Lie type (20D06)

This page was built for publication: Automorphisms of nonsplit extensions of 2-groups by $PSL_2(q)$

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6365609)