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Communications in Algebra Volume 31, 2003 - Issue 12
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Original Articles

Injectors and Radicals in Products of Totally Permutable Groups

P. Hauck Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Tübingen, Germany; Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Sand 14, 72076, Tübingen, GermanyCorrespondence[email protected]
,
A. Martínez-Pastor Escuela Universitaria de Informática, Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Valencia, Spain
&
M. D. Pérez-Ramos Departament d'Àlgebra, Universitat de València, Burjassot (València), Spain
Pages 6135-6147 | Received 01 Jul 2002, Published online: 01 Feb 2007
 
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Abstract

Two subgroups H and K of a group G are said to be totally permutable if every subgroup of H permutes with every subgroup of K. In this paper the behaviour of radicals and injectors associated to Fitting classes in a product of pairwise totally permutable finite groups is studied.

Acknowledgment

The second and third authors have been supported by Proyecto BFM2001-1667-C03-03, Ministerio de Ciencia y Tecnología and FEDER, Spain.

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