Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$

arXiv2209.04591MaRDI QIDQ6410259

A. V. Zavarnitsine

Publication date: 10 September 2022

Abstract: We classify the nonsplit extensions of elementary abelian $p$-groups by $PS{L}_2(q)$, with odd $p$ dividing $q-1$, for an irreducible induced action, calculate the relevant low-dimensional cohomology groups, and describe the automorphism groups of such extensions.

Mathematics Subject Classification ID

Cohomology of groups (20J06) Extensions, wreath products, and other compositions of groups (20E22) Automorphism groups of groups (20F28) Simple groups: alternating groups and groups of Lie type (20D06)

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