A criterion for finite module type

Bessenrodt, Christine

doi:10.1090/S0002-9939-1982-0660595-9

A criterion for finite module type
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by Christine Bessenrodt

Proc. Amer. Math. Soc. 85 (1982), 520-522

DOI: https://doi.org/10.1090/S0002-9939-1982-0660595-9

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Abstract:

The following result is proved: If a $p$-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.

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