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arXiv · 2104.09201

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

Danila O. Revin·Andrei V. Zavarnitsine
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Abstract

We complete the description of automorphism groups of all nonsplit extensions of elementary abelian $2$-groups by $PSL_2(q)$, with $q$ odd, for an irreducible induced action. An application of this result to the theory of $\pi$-submaximal subgroups is given.

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Danila O. Revin, Andrei V. Zavarnitsine. 2021-04-19. Automorphisms of nonsplit extensions of 2-groups by $PSL_2(q)$. https://doi.org/10.1515/jgth-2021-0067

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