Conjugacy classes and union of cosets of normal subgroups
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Título
Conjugacy classes and union of cosets of normal subgroupsAutoría
Fecha de publicación
2023Editor
Springer NatureISSN
0026-9255; 1436-5081Cita bibliográfica
Beltrán, A. Conjugacy classes and union of cosets of normal subgroups. Monatsh Math 201, 349–358 (2023). https://doi.org/10.1007/s00605-022-01726-wTipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K−1 is union of cosets of N, then N is soluble, K is a real-imaginary class, that is, every irreducible character of ... [+]
Let G be a finite group, N a normal subgroup of G and K a conjugacy class of G. We prove that if K∪K−1 is union of cosets of N, then N is soluble, K is a real-imaginary class, that is, every irreducible character of G takes real or purely imaginary values on K, and if, in addition, the elements of K are p-elements for some prime p, then N has normal p-complement. We also prove that if K∪K−1 is a single coset of N, then ⟨K⟩ has a normal 2-complement. [-]
Publicado en
Monatshefte für Mathematik , 201, 2023Entidad financiadora
Ministerio de Ciencia, Innovación y Universidades | National Natural Science Foundation of China | Universitat Jaume I
Código del proyecto o subvención
PGC2018-096872-B-100 | No. 12071181 | UJI-B2019-03
Derechos de acceso
info:eu-repo/semantics/openAccess
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