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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On induced projective indecomposable modules


Authors: Peter Sin and Wolfgang Willems
Journal: Proc. Amer. Math. Soc. 105 (1989), 793-801
MSC: Primary 20C20; Secondary 20D10
DOI: https://doi.org/10.1090/S0002-9939-1989-0938914-1
MathSciNet review: 938914
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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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DOI: https://doi.org/10.1090/S0002-9939-1989-0938914-1
Article copyright: © Copyright 1989 American Mathematical Society