Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A note on the cohomology of finitary modules

Author(s): U. Meierfrankenfeld
Journal: Proc. Amer. Math. Soc. 126 (1998), 353-356.
MSC (1991): Primary 20J05
MathSciNet review: 1423320
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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:

[As]: M. Aschbacher, Finite Group Theory, Cambridge University Press, Cambridge (1986). MR 89b:20001; MR 95b:20002
[KW]: O. Kegel and B. A. F. Wehrfritz, Locally Finite Groups, North Holland (1973). MR 57:9848

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