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The Dehn Function of PSL2(Z[1/p])

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Abstract

We show that PSL2(Z[1/p]) admits a combing with bounded asynchronous width, and use this combing to show that PSL2(Z[1/p]) has an exponential Dehn function. As a corollary, PSL2(Z[1/p]) has solvable word problem and is not an automatic group.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University at Albany, Albany, NY, 12222, U.S.A.

    Jennifer Taback

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  1. Jennifer Taback
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Taback, J. The Dehn Function of PSL2(Z[1/p]). Geometriae Dedicata 102, 179–195 (2003). https://doi.org/10.1023/B:GEOM.0000006508.01626.a4

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  • DOI: https://doi.org/10.1023/B:GEOM.0000006508.01626.a4

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