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arXiv · 2109.03295

Leighton's Theorem and Regular Cube Complexes

Daniel J. Woodhouse
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Abstract

Leighton's graph covering theorem states that two finite graphs with common universal cover have a common finite cover. We generalize this to a large family of non-positively curved special cube complexes that form a natural generalization of regular graphs. This family includes both hyperbolic and non-hyperbolic CAT(0) cube complexes.

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Daniel J. Woodhouse. 2021-09-07. Leighton's Theorem and Regular Cube Complexes. https://doi.org/10.2140/agt.2023.23.3395

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