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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

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.
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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