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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

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Título: Algorithms for permutability in finite groups
Autor: Adolfo Ballester-Bolinches Cosme-Llópez, Enric Esteban Romero, Ramón
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
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 ...[+]
Palabras clave: Finite group: Permutable subgroup , S-permutable subgroup , Dedekind group , Iwasawa group , T-group , PT-group , PST-group , Algorithm
Derechos de uso: Reserva de todos los derechos
Fuente:
Central European Journal of Mathematics. (issn: 1895-1074 )
DOI: 10.2478/s11533-013-0299-4
Editorial:
Springer Verlag (Germany)
Versión del editor: http://dx.doi.org/10.2478/s11533-013-0299-4
Código del Proyecto:
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/
Agradecimientos:
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). ...[+]
Tipo: Artículo

References

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 [+]
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

Ballester-Bolinches A., Cosme-Llópez E., Esteban-Romero R., Permut: A GAP4 package to deal with permutability, v. 0.03, available at http://personales.upv.es/_resteban/gap/permut-0.03/

Ballester-Bolinches A., Esteban-Romero R., Sylow permutable subnormal subgroups of finite groups, J. Algebra, 2002, 251(2), 727–738

Ballester-Bolinches A., Esteban-Romero R., Asaad M., Products of Finite Groups, de Gruyter Exp. Math., 53, Walter de Gruyter, Berlin, 2010

Ballester-Bolinches A., Esteban-Romero R., Ragland M., A note on finite PST-groups, J. Group Theory, 2007, 10(2), 205–210

Ballester-Bolinches A., Esteban-Romero R., Ragland M., Corrigendum: A note on finite PST-groups, J. Group Theory, 2009, 12(6), 961–963

Beidleman J.C., Brewster B., Robinson D.J.S., Criteria for permutability to be transitive in finite groups, J. Algebra, 1999, 222(2), 400–412

Beidleman J.C., Heineken H., Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups, J. Group Theory, 2003, 6(2), 139–158

Huppert B., Endliche Gruppen I, Grundlehren Math. Wiss., 134, Springer, Berlin-Heidelberg-New York, 1967

Maier R., Schmid P., The embedding of quasinormal subgroups in finite groups, Math. Z., 1973, 131(3), 269–272

Robinson D.J.S., A note on finite groups in which normality is transitive, Proc. Amer. Math. Soc., 1968, 19(4), 933–937

Schmid P., Subgroups permutable with all Sylow subgroups, J. Algebra, 1998, 207(1), 285–293

Schmidt R., Subgroup Lattices of Groups, de Gruyter Exp. Math., 14, Walter de Gruyter, Berlin, 1994

The GAP Group, GAP — Groups, Algorithms, Programming, v. 4.5.7, 2012

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