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The Dehn Function of PSL(2,Z[1/p])

Jennifer Taback
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Abstract

We show that PSL(2,Z[1/p]) admits a combing with bounded asynchronous width, and use this combing to show that PSL(2,Z[1/p]) has an exponential Dehn function. As a corollary, PSL(2,Z[1/p]) has solvable word problem and is not an automatic group.

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Jennifer Taback. 2003-02-17. The Dehn Function of PSL(2,Z[1/p]). https://arxiv.org/abs/math/0302191

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