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Free modules over some modular group rings

Published online by Cambridge University Press:  09 April 2009

Jon F. Carlson
Jon F. Carlson
Affiliation:
University of Georgia, Athens, Georgia 30602, U.S.A.
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Let K be a field and G a finite group with subgroup H. We say that (G H) is a K-free pair if whenever M is a finitely generated KG-module whose restriction MH is a free KH-module, then M is a free KG-module. In this paper pairs of groups with this property will be investigated.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 21 , Issue 1 , February 1976 , pp. 49 - 55
Copyright
Copyright © Australian Mathematical Society 1976

References

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