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The Dehn Function of PSL2(Z[1/p])
- Source :
- Geometriae Dedicata. 102:179-195
- Publication Year :
- 2003
- Publisher :
- Springer Science and Business Media LLC, 2003.
-
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.
Details
- ISSN :
- 00465755
- Volume :
- 102
- Database :
- OpenAIRE
- Journal :
- Geometriae Dedicata
- Accession number :
- edsair.doi...........e82f69106df34ceaad3fc6aefde8d243
- Full Text :
- https://doi.org/10.1023/b:geom.0000006508.01626.a4