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Invariant TI-subgroups and structure of finite groups
dc.contributor.author | shao, Changguo | |
dc.contributor.author | Beltrán, Antonio | |
dc.date.accessioned | 2020-10-28T12:06:32Z | |
dc.date.available | 2020-10-28T12:06:32Z | |
dc.date.issued | 2020-09-07 | |
dc.identifier.citation | SHAO, Changguo; BELTRÁN, Antonio. Invariant TI-subgroups and structure of finite groups. Journal of Pure and Applied Algebra, 225.4: 106566. | ca_CA |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | http://hdl.handle.net/10234/190132 | |
dc.description.abstract | 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. | ca_CA |
dc.format.extent | 9 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2020 Elsevier B.V. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | invariant subgroups | ca_CA |
dc.subject | coprime action | ca_CA |
dc.subject | trivial intersection subgroups | ca_CA |
dc.title | Invariant TI-subgroups and structure of finite groups | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jpaa.2020.106566 | |
dc.relation.projectID | 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) | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://www.sciencedirect.com/science/article/pii/S002240492030267X | ca_CA |
dc.date.embargoEndDate | 2022-09-07 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
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