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Proceedings of the American Mathematical Society

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

 

 

A note on nonfinitely generated projective $ {\bf Z}\pi $-modules


Author: Takeo Akasaki
Journal: Proc. Amer. Math. Soc. 86 (1982), 391
MSC: Primary 16A26; Secondary 16A50, 20C05
MathSciNet review: 671200
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Abstract: Let $ \pi $ be a finite group and $ {\mathbf{Z}}\pi $ be its integral group ring. It is shown that if $ \pi $ is not solvable, then there exists a nonfinitely generated projective $ {\mathbf{Z}}\pi $-module which is not free.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0671200-X
Article copyright: © Copyright 1982 American Mathematical Society