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Central quotients of biautomatic groups

Lee Mosher
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Abstract

The quotient of a biautomatic group by a subgroup of the center is shown to be biautomatic. The main tool used is the Neumann-Shapiro triangulation of $S^{n-1}$, associated to a biautomatic structure on ${\Bbb Z}^n$. As an application, direct factors of biautomatic groups are shown to be biautomatic.

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Lee Mosher. 1994-04-26. Central quotients of biautomatic groups. https://arxiv.org/abs/math/9404203

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