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2000 The Kazhdan property of the mapping class group of closed surfaces and the first cohomology group of its cofinite subgroups
Feraydoun Taherkhani
Experiment. Math. 9(2): 261-274 (2000).

Abstract

We show that the mapping class group of a closed surface of genus 2 does not satisfy the Kazhdan property by constructing subgroups of finite index having a nonvanishing first cohomology group. We also construct some subgroups of finite index in the mapping class group of a genus 3 surface and calculate their first cohomology groups, which all turn out to be trivial. Most of the calculations have been carried out by computer using GAP.

Citation

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Feraydoun Taherkhani. "The Kazhdan property of the mapping class group of closed surfaces and the first cohomology group of its cofinite subgroups." Experiment. Math. 9 (2) 261 - 274, 2000.

Information

Published: 2000
First available in Project Euclid: 22 February 2003

zbMATH: 0986.57014
MathSciNet: MR1780211

Subjects:
Primary: 57M07
Secondary: 20F38

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 2 • 2000
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