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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Periodic modules with large periods

Author: Jon F. Carlson
Journal: Proc. Amer. Math. Soc. 76 (1979), 209-215
MSC: Primary 20C05
MathSciNet review: 537075
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Abstract: Let G be a nonabelian group of order $ {p^3}$ and exponent p, where p is an odd prime. Let K be a field of characteristic p. In this paper it is proved that there exist periodic KG-modules whose periods are 2p. Some examples of such modules are constructed.

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PII: S 0002-9939(1979)0537075-4
Keywords: Periodic modules, modular group algebras
Article copyright: © Copyright 1979 American Mathematical Society