Commensurating HNN-extensions: hierarchical hyperbolicity and biautomaticity

We construct a CAT(0) hierarchically hyperbolic group (HHG) acting geometrically on the product of a hyperbolic plane and a locally-finite tree which is not biautomatic. This gives the first example of an HHG which is not biautomatic, the first example of a non-biautomatic CAT(0) group of flat-rank...

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Bibliographic Details
Main Authors: Hughes, S, Valiunas, M
Format: Journal article
Language:English
Published: EMS Press 2024