On the existence of a complement for a finite simple group in its automorphism group

zbMath1032.20011MaRDI QIDQ1409621

Andrea Lucchini, Marta Morigi, Federico Menegazzo

Publication date: 16 October 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

split extensionsfinite simple groupsfinite groups of Lie typediagonal automorphisms

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Automorphisms of abstract finite groups (20D45) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

On finite nonsolvable groups whose cyclic $p$-subgroups of equal order are conjugate ⋮ On homogeneous spaces with finite anti-solvable stabilizers ⋮ Brauer characters and fields of values ⋮ On the converse of Gaschütz' complement theorem ⋮ Supersolvable descent for rational points ⋮ Fields of moduli and the arithmetic of tame quotient singularities ⋮ Almost recognizability by spectrum of finite simple linear groups of prime dimension.

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