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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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.

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$NK_ 1$ of finite groups
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by Dennis R. Harmon PDF
Proc. Amer. Math. Soc. 100 (1987), 229-232 Request permission

Abstract:

For $R$ any ring with unity, let $N{K_1}(R)$ denote the kernel of the homomorphism ${\varepsilon _*}:{K_1}(R[t]) \to {K_1}(R)$ induced by the augmentation $\varepsilon :t \to 0$. We show that if $\pi$ is a finite group of square-free order, then $N{K_1}(Z\pi ) = 0$.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 100 (1987), 229-232
  • MSC: Primary 18F25; Secondary 16A54, 19A22, 19D35
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0884456-X
  • MathSciNet review: 884456