Cohomology of Fuchsian Groups and Non-Euclidean Crystallographic Groups

DOI10.1007/S00229-022-01369-ZzbMATH Open1517.20078arXiv1910.00519WikidataQ114230753 ScholiaQ114230753MaRDI QIDQ6326343

Publication date: 1 October 2019

Abstract: For each geometrically finite 2-dimensional 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.

Mathematics Subject Classification ID

Cohomology of groups (20J06) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

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