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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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The $\overline \mu$-invariants for groups
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by M. A. Gutiérrez PDF
Proc. Amer. Math. Soc. 55 (1976), 293-298 Request permission

Abstract:

Given a presentation $({\text {P)}}$ for a group $G$, the cobar differentials ${d^r}:E_{0,1}^r \to E_{ - r,r}^r$ are invariants of $({\text {P)}}$. These invariants can be interpreted to be the Massey coproducts of ${H_{\ast }}(G)$, and, if $({\text {P)}}$ is the Wirtinger presentation of a link group, they coincide with the $\overline \mu$-invariants of Milnor.
References
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 55 (1976), 293-298
  • MSC: Primary 16A26; Secondary 55A25
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0422328-8
  • MathSciNet review: 0422328