Finite groups with an automorphism that is a complete mapping

DOI10.1007/S00605-020-01395-7arXiv1911.08379MaRDI QIDQ6329489

Alexander Bors

Publication date: 19 November 2019

Abstract: We show that a finite group $G$ admitting an automorphism $alpha$ such that the function $GightarrowG$, $gmapstogalpha(g)$, is bijective is necessarily solvable.

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

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