Non-commutative groupoids obtained from the failure of $3$-uniqueness in stable theories

Byunghan Kim; SunYoung Kim; Junguk Lee

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arXiv · 1504.07731

Non-commutative groupoids obtained from the failure of $3$-uniqueness in stable theories

Byunghan Kim·SunYoung Kim·Junguk Lee

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Abstract

We construct a possibly non-commutative groupoid from the failure of $3$-uniqueness of a strong type. The commutative groupoid constructed by John Goodrick and Alexei Kolesnikov in \cite{GK} lives in the center of the groupoid. A certain automorphism group approximated by the vertex groups of the non-commutative groupoids is suggested as a "fundamental group" of the strong type.

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BibTeX RIS

Byunghan Kim, SunYoung Kim, Junguk Lee. 2015-04-29. Non-commutative groupoids obtained from the failure of $3$-uniqueness in stable theories. https://arxiv.org/abs/1504.07731

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