Some local properties defining To-groups and related classes of groups
Ballester-Bolinches, Adolfo (Universitat de València. Departament de Matemàtiques)
Beidleman, James C. (University of Kentucky. Department of Mathematics)
Esteban-Romero, Ramon (Universitat Politècnica de València. Institut Universitari de Matemàtica Pura i Aplicada)
Ragland, Matthew F. (Auburn University at Montgomery. Department of Mathematics)

Date:	2016
Abstract:	We call G a HallX -group if there exists a normal nilpotent subgroup N of G for which G/N0 is an X-group. We call G a T0-group provided G/Φ(G) is a T -group, that is, one in which normality is a transitive relation. We present several new local classes of groups which locally define HallX -groups and T0-groups where X ∈ {T , PT , PST }; the classes PT and PST denote, respectively, the classes of groups in which permutability and S-permutability are transitive relations. 2010 Mathematics Subject Classification: Primary: 20D10, 20D20, 20D35.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Subnormal subgroup ; T -group ; Pst -group ; Finite solvable group
Published in:	Publicacions matemàtiques, Vol. 60 Núm. 1 (2016) , p. 265-272 (Survey) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/302250
DOI: 10.5565/PUBLMAT_60116_10

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