A note on the cohomology of finitary modules
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- by U. Meierfrankenfeld PDF
- Proc. Amer. Math. Soc. 126 (1998), 353-356 Request permission
Abstract:
Let $G$ be a group, $D$ a division ring and $V$ a $DG$-module. $V$ is called finitary provided that $V/C_V(g)$ is finite dimensional for all $g\in G$. We investigate the first and second degree cohomology of finitary modules in terms of a local system for $G$.References
- Michael Aschbacher, Finite group theory, Cambridge Studies in Advanced Mathematics, vol. 10, Cambridge University Press, Cambridge, 1986. MR 895134
- Otto H. Kegel and Bertram A. F. Wehrfritz, Locally finite groups, North-Holland Mathematical Library, Vol. 3, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York, 1973. MR 0470081
Additional Information
- U. Meierfrankenfeld
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Email: meier@math.msu.edu
- Received by editor(s): August 20, 1996
- Communicated by: Ronald M. Solomon
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 353-356
- MSC (1991): Primary 20J05
- DOI: https://doi.org/10.1090/S0002-9939-98-04128-8
- MathSciNet review: 1423320