On induced projective indecomposable modules

Sin, Peter; Willems, Wolfgang

doi:10.1090/S0002-9939-1989-0938914-1

On induced projective indecomposable modules
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by Peter Sin and Wolfgang Willems PDF

Proc. Amer. Math. Soc. 105 (1989), 793-801 Request permission

Abstract:

A well-known theorem of Fong states that over large enough fields of any characteristic, the principal indecomposable modules of a soluble finite group are induced from subgroups of order prime to the characteristic. It is shown that this property in fact characterises soluble finite groups.

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