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arXiv · 1411.3647

The infinite cyclohedron and its automorphism group

Ariadna Fossas Tenas·Jon McCammond
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Abstract

Cyclohedra are a well-known infinite familiy of finite-dimensional polytopes that can be constructed from centrally symmetric triangulations of even-sided polygons. In this article we introduce an infinite-dimensional analogue and prove that the group of symmetries of our construction is a semidirect product of a degree 2 central extension of Thompson's infinite finitely presented simple group T with the cyclic group of order 2. These results are inspired by a similar recent analysis by the first author of the automorphism group of an infinite-dimensional associahedron.

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Ariadna Fossas Tenas, Jon McCammond. 2014-11-13. The infinite cyclohedron and its automorphism group. https://arxiv.org/abs/1411.3647

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