Invariant TI-subgroups and structure of finite groups
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INVESTIGACIONMetadades
Títol
Invariant TI-subgroups and structure of finite groupsData de publicació
2020-09-07Editor
ElsevierISSN
0022-4049Cita bibliogràfica
SHAO, Changguo; BELTRÁN, Antonio. Invariant TI-subgroups and structure of finite groups. Journal of Pure and Applied Algebra, 225.4: 106566.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S002240492030267XVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. Recall that a subgroup H of G is said to be a TI-subgroup if it has trivial intersection with ... [+]
Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders. Recall that a subgroup H of G is said to be a TI-subgroup if it has trivial intersection with its distinct conjugates in G. We study the solubility and other properties of G when we assume that certain invariant subgroups of G are TI-subgroups, precisely when all A-invariant subgroups, all non-nilpotent A-invariant subgroups, and all non-abelian A-invariant subgroups of G, respectively, are TI-subgroups. [-]
Proyecto de investigación
Nature Science Fund of Shandong Province (No. ZR2019MA044) ; Opening Project of Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing (No. 2018QZJ04) ; Ministerio de Ciencia, Innovación y Universidades (PGC2018-096872-B-100) ; Universitat Jaume I (Proyecto UJI-B2019-03)Drets d'accés
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