Invariant complements normalized by the fixed point subgroup
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INVESTIGACIONMetadatos
Título
Invariant complements normalized by the fixed point subgroupAutoría
Fecha de publicación
2022-01-04Editor
Elsevier; Academic PressISSN
0021-8693Cita bibliográfica
BELTRÁN, Antonio. Invariant complements normalized by the fixed point subgroup. Journal of Algebra, 2021.Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
Abstract. Let A and G be finite groups and assume that A acts on G by automorphisms with (|A|, |G|) = 1. Let CG(A) be the fixed point subgroup and fix a prime
number p. We prove that if G possesses an A-invariant ... [+]
Abstract. Let A and G be finite groups and assume that A acts on G by automorphisms with (|A|, |G|) = 1. Let CG(A) be the fixed point subgroup and fix a prime
number p. We prove that if G possesses an A-invariant p-complement that is normalized
by CG(A), then G is p-solvable. We also extend Frobenius criterion for p-nilpotency, in
the coprime action setting, for the primes 2 and 3. [-]
Publicado en
Journal of Algebra, Volume 595, 1 April 2022, Pages 260-270Entidad financiadora
Ministerio de Ciencia, Innovación y Universidades (Spain) | Universitat Jaume I | Generalitat Valenciana
Código del proyecto o subvención
PGC2018-096872-B-100 | UJI-B2019-03 | AICO/2020/298
Derechos de acceso
© 2021 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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