JournalscmhVol. 72, No. 1pp. 16–29

Central quotients of biautomatic groups

  • John Loftin

    Rutgers University, Newark, USA
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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 Zn{\bf Z}^n. Among other applications, a question of Gersten and Short is settled by showing that direct factors of biautomatic groups are biautomatic.

Cite this article

John Loftin, Central quotients of biautomatic groups. Comment. Math. Helv. 72 (1997), no. 1, pp. 16–29

DOI 10.1007/PL00000364