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A criterion for finite module type

Published:1982 Issue:4 Volume:85 Page:520-522
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bessenrodt Christine

Abstract

The following result is proved: If a p p -block of a finite group has only finitely many indecomposable liftable modules with the defect group of the block as a vertex or if it has only finitely many indecomposable periodic modules, then the block is of finite module type.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-085-04/S0002-9939-1982-0660595-9/S0002-9939-1982-0660595-9.pdf

Reference8 articles.

1. Periodicity in groups;Alperin, J. L.;Illinois J. Math.,1977

2. The distribution of modular representations into blocks;Burry, David W.;Proc. Amer. Math. Soc.,1980

3. Pure and Applied Mathematics;Dornhoff, Larry,1971

4. Vorlesungen aus dem Mathematischen Institut Giessen, Heft 2;Green, J. A.,1974

5. Indecomposable modules with cyclic vertex;Hamernik, Wolfgang;Math. Z.,1975

Cited by 2 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. Representations of finite groups;Journal of Soviet Mathematics;1988-02

2. Bibliography;North-Holland Mathematics Studies;1980

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