On the applications of coalgebras to group algebras
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- by Alan Rosenberg PDF
- Proc. Amer. Math. Soc. 52 (1975), 109-112 Request permission
Abstract:
This paper examines the coalgebra structure on $k{[G]^ \circ }$ and relates it to the group theoretic properties of $G$. In particular it is shown that there is an intimate relation between $k[G]$ being proper and $G$ being residually finite. We use this to derive a series of conditions on the group to guarantee it being residually finite.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 52 (1975), 109-112
- MSC: Primary 16A26
- DOI: https://doi.org/10.1090/S0002-9939-1975-0382331-2
- MathSciNet review: 0382331