Central quotients of biautomatic groups |
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| Authors: | L. Mosher |
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| Affiliation: | (1) Dept. of Math. and Computer Science, Rutgers University, Newark, NJ 07102, USA, e-mail: mosher@andromeda.rutgers.edu, US |
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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 . Among other applications, a question of Gersten and Short is settled by showing that direct factors of biautomatic groups are biautomatic. Received: October 4, 1994 |
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| Keywords: | . Biautomatic groups quasi-isometries quasi-isometric sections central extensions. |
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