Mathematics – Group Theory
Scientific paper
1994-04-26
Comment. Math. Helv. 72 (1997), no. 1, 16--29
Mathematics
Group Theory
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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