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Galois Groups, Abstract Commutators, and Hopf Formula

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Abstract

A general description of the Galois group of a “pointed” normal extension in categorical Galois theory is examined under the presence of a suitable commutator operation. In particular, using the Hopf formula for the second homology group of a group, the connection between Galois theory and group homology is clarified.

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa

    George Janelidze

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  1. George Janelidze
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Correspondence to George Janelidze.

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Partially supported by South African NRF.

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Janelidze, G. Galois Groups, Abstract Commutators, and Hopf Formula. Appl Categor Struct 16, 653–668 (2008). https://doi.org/10.1007/s10485-007-9107-2

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  • DOI: https://doi.org/10.1007/s10485-007-9107-2

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