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arXiv · 1407.5171

Operad groups as a unified framework for Thompson-like groups

Werner Thumann
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Abstract

We propose a new unified framework for Thompson-like groups using a well-known device called operads and category theory as language. We discuss examples of operad groups which have appeared in the literature before. As a first application, we give sufficient conditions for plain operads to yield groups of type $F_\infty$. This unifies and extends existing proofs for certain Thompson-like groups in a conceptual manner.

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Werner Thumann. 2015-07-03. Operad groups as a unified framework for Thompson-like groups. https://arxiv.org/abs/1407.5171

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