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arXiv:1910.00519 [math.GR]AbstractReferencesReviewsResources

Cohomology of Fuchsian Groups and Non-Euclidean Crystallographic Groups

Sam Hughes

Published 2019-10-01Version 1

For each geometrically finite non-Euclidean crystallographic group (NEC group), we compute the cohomology groups. In the case where the group is a Fuchsian group, we also determine the ring structure of the cohomology. Finally, we compute the $L^2$-Betti numbers of the NEC groups.

Comments: 12 pages
Categories: math.GR, math.GT
Subjects: 20J06
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