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

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

2003-02-17

arxiv.org/abs/math/0302191v1

Mathematics

Group Theory

16 pages

Scientific paper

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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