Central quotients of biautomatic groups

Mathematics – Group Theory

Scientific paper

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AMS-Tex, 10 pages, no figures

Scientific paper

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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