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Relative commutator theory and the associator of loops

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If you have a question about this talk, please contact Julia Goedecke.

joint work with Tomas Everaert

The aim of this talk is to explain the concept of double central extension from the point of view of relative commutator theory. We shall focus on one concrete situation: the reflection of loops to groups. First we explain how the Galois theoretic approach to relative commutators arose out of Tomas Everaert’s work in the context of Omega-groups. Then we show how the abstract definition applies to the case of loops, where the associator is an example of a relative commutator.

This talk is part of the Category Theory Seminar series.

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