June 2024 Fox pairings of Poincaré duality groups
Takefumi NOSAKA
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Hokkaido Math. J. 53(2): 209-233 (June 2024). DOI: 10.14492/hokmj/2022-646

Abstract

This paper develops the study of Fox pairings of a group $G$ from the viewpoint of group cohomology. We compute some cohomology groups of Fox pairings of $G$, where $G$ admits a Poincaré duality group pair. We also suggest fundamental Fox pairings and higher Fox pairings.

Citation

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Takefumi NOSAKA. "Fox pairings of Poincaré duality groups." Hokkaido Math. J. 53 (2) 209 - 233, June 2024. https://doi.org/10.14492/hokmj/2022-646

Information

Received: 7 August 2022; Revised: 7 February 2023; Published: June 2024
First available in Project Euclid: 23 June 2024

Digital Object Identifier: 10.14492/hokmj/2022-646

Subjects:
Primary: 17A36 , 20J06 , 57M50 , 57P10

Keywords: derivations , Fox pairing , Group cohomology , Poincaré duality

Rights: Copyright c 2024 Hokkaido University, Department of Mathematics

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Vol.53 • No. 2 • June 2024
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