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Algorithms for permutability in finite groups

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Algorithms for permutability in finite groups

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Adolfo Ballester-Bolinches; Cosme-Llópez, E.; Esteban Romero, R. (2013). Algorithms for permutability in finite groups. Central European Journal of Mathematics. 11(11):1914-1922. https://doi.org/10.2478/s11533-013-0299-4

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/39083

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Item Metadata

Title: Algorithms for permutability in finite groups
Author: Adolfo Ballester-Bolinches Cosme-Llópez, Enric Esteban Romero, Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups ...[+]
Subjects: Finite group: Permutable subgroup , S-permutable subgroup , Dedekind group , Iwasawa group , T-group , PT-group , PST-group , Algorithm
Copyrigths: Reserva de todos los derechos
Source:
Central European Journal of Mathematics. (issn: 1895-1074 )
DOI: 10.2478/s11533-013-0299-4
Publisher:
Springer Verlag (Germany)
Publisher version: http://dx.doi.org/10.2478/s11533-013-0299-4
Project ID:
info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-01/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES I/
info:eu-repo/grantAgreement/NSFC//11271085/
info:eu-repo/grantAgreement/ME//AP2010-2764/ES/AP2010-2764/
Thanks:
This work has been supported by the grant MTM2010-19938-C03-01 (Ministerio de Ciencia e Innovacion, Spain). The first author has also been supported by a project of the National Natural Science Foundation of China (11271085). ...[+]
Type: Artículo

References

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Ballester-Bolinches A., Beidleman J.C., Cossey J., Esteban-Romero R., Ragland M.F., Schmidt J., Permutable subnormal subgroups of finite groups, Arch. Math. (Basel), 2009, 92(6), 549–557

Ballester-Bolinches A., Beidleman J.C., Heineken H., Groups in which Sylow subgroups and subnormal subgroups permute, Illinois J. Math., 2003, 47(1–2), 63–69

Ballester-Bolinches A., Beidleman J.C., Heineken H., A local approach to certain classes of finite groups, Comm. Algebra, 2003, 31(12), 5931–5942

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