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Maximal subgroups and the Jordan-Hölder Theorem

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Julio Lafuente
Julio Lafuente
Affiliation:
Departamento de Matemáticas, Universidad de Zaragoza, 50 009 Zaragoza, Spain
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Abstract

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In this note we present a general Jordan-Hölder type theorem for modular lattices and apply it to obtain various (old and new) versions of the Jordan-Hölder Theorem for finite groups.

MSC classification

Secondary: 20D30: Series and lattices of subgroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 3 , June 1989 , pp. 356 - 364
Copyright
Copyright © Australian Mathematical Society 1989

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