Large characteristically simple sections of finite groups

Ballester-Bolinches, A. ; Esteban-Romero, R. ; Jiménez-Seral, P. (Universidad de Zaragoza)

Resumen: In this paper we prove that if G is a group for which there are k non-Frattini chief factors isomorphic to a characteristically simple group A, then G has a normal section C/R that is the direct product of k minimal normal subgroups of G/R isomorphic to A. This is a significant extension of the notion of crown for isomorphic chief factors.

Idioma: Inglés

DOI: 10.1007/s13398-021-01188-z

Año: 2022

Publicado en: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 116, 1 (2022), [7 pp.]
ISSN: 1578-7303

Factor impacto JCR: 2.9 (2022)

Categ. JCR: MATHEMATICS rank: 15 / 329 = 0.046 (2022) - Q1 - T1

Factor impacto CITESCORE: 4.9 - Mathematics (Q1)

Factor impacto SCIMAGO: 0.933 - Algebra and Number Theory (Q1) - Analysis (Q1) - Geometry and Topology (Q1) - Computational Mathematics (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-20R
Financiación: info:eu-repo/grantAgreement/ES/MCIU-AEI/PGC2018-095140-B-I00

Tipo y forma: Article (Published version)

Área (Departamento): Área Algebra (Dpto. Matemáticas)