Ballester-Bolinches, A.; Feldman ., A.; Pedraza Aguilera, MC.; Ragland., M. (2011). A class of generalised finite T-groups. Journal of Algebra. 333(1):128-138. doi:10.1016/j.jalgebra.2011.02.018
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/37665
Title:
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A class of generalised finite T-groups
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Author:
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Ballester-Bolinches, A
Feldman ., A.D
Pedraza Aguilera, María Carmen
Ragland., M.F
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UPV Unit:
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Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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Let F be a formation (of finite groups) containing all nilpotent groups such that any normal subgroup of any T-group in F and any subgroup of any soluble T-group in F belongs to F. A subgroup M of a finite group G is said ...[+]
Let F be a formation (of finite groups) containing all nilpotent groups such that any normal subgroup of any T-group in F and any subgroup of any soluble T-group in F belongs to F. A subgroup M of a finite group G is said to be F-normal in G if G/CoreG(M) belongs to F. Named after Kegel, a subgroup U of a finite group G is called a K- F-subnormal subgroup of G if either U=G or U=U0?U1???Un=G such that Ui?1 is either normal in Ui or Ui1 is F-normal in Ui, for i=1,2,...,n. We call a finite group G a TF-group if every K- F-subnormal subgroup of G is normal in G. When F is the class of all finite nilpotent groups, the TF-groups are precisely the T-groups. The aim of this paper is to analyse the structure of the TF-groups and show that in many cases TF is much more restrictive than T. © 2011 Elsevier Inc.
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Subjects:
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F-subnormal subgroup
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Formation
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Pronormal subgroup
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Subnormal subgroup
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T-group
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Journal of Algebra. (issn:
0021-8693
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DOI:
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10.1016/j.jalgebra.2011.02.018
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Publisher:
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Elsevier
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Publisher version:
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http://dx.doi.org/10.1016/j.jalgebra.2011.02.018
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Project ID:
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Ministerio de Educacion y Ciencia (Spain) [MTM2007-68010-C03-02]
FEDER (European Union)
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Thanks:
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The authors would like to thank the referee and Ramon Esteban-Romero for useful and insightful comments. The first and the third authors have been supported by the grant MTM2007-68010-C03-02 from Ministerio de Educacion y ...[+]
The authors would like to thank the referee and Ramon Esteban-Romero for useful and insightful comments. The first and the third authors have been supported by the grant MTM2007-68010-C03-02 from Ministerio de Educacion y Ciencia (Spain) and FEDER (European Union).
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Type:
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Artículo
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