Periodic modules with large periods

Author:

Carlson Jon F.

Abstract

Let G be a nonabelian group of order p 3 {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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference5 articles.

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2. The dimensions of periodic modules over modular group algebras;Carlson, Jon F.;Illinois J. Math.,1979

3. Pure and Applied Mathematics, Vol. XI;Curtis, Charles W.,1962

4. Homological algebra on a complete intersection, with an application to group representations;Eisenbud, David;Trans. Amer. Math. Soc.,1980

5. Indecomposable representations and the loop-space operation;Heller, Alex;Proc. Amer. Math. Soc.,1961

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