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Maximal subgroups and the Jordan-Hölder Theorem

Published:1989-06 Issue:3 Volume:46 Page:356-364
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Lafuente Julio

Abstract

AbstractIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference15 articles.

1. Extreme classes of finite soluble groups

2. Projektive Klassen endlicher Gruppen

3. Homomorphs and formations of given derived class

4. Classes of finite groups and their properties;Baer;Illinois J. Math.,1987

5. On complemented chief factors of finite soluble groups

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On maximal subalgebras and a generalized Jordan–Hölder theorem for Lie algebras;Communications in Algebra;2016-10-07

2. Homological Algebra;2012-05-14

3. On complemented nonabelian chief factors of a finite group;Israel Journal of Mathematics;1998-12

4. Complementation and chief factors ik finite groups-II;Communications in Algebra;1998-01

5. Complementation and chief factors in finite groups;Communications in Algebra;1997-01

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