Fixed-point-free actions on a class of abelian groups
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- by P. M. Curran PDF
- Proc. Amer. Math. Soc. 57 (1976), 189-193 Request permission
Abstract:
It is proved that all cohomology groups of a group $G$ acting on an abelian group of a certain type vanish if the action of some subnormal abelian subgroup of $G$ is fixed-point-free. This result is then applied to obtain results about group extensions and about the complete reducibility of linear groups.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 57 (1976), 189-193
- MSC: Primary 20J05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0414739-1
- MathSciNet review: 0414739