Cohomology of Fuchsian groups and non-Euclidean crystallographic groups
Sign Up to like & getrecommendations! Published in 2022 at "manuscripta mathematica"
DOI: 10.1007/s00229-022-01369-z
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. read more here.
Keywords: group; cohomology fuchsian; euclidean crystallographic; cohomology ... See more keywords
Computing the signatures of subgroups of non-Euclidean crystallographic groups
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2017.01.017
Abstract: Abstract A (planar and cocompact) non-Euclidean crystallographic (NEC) group Δ is a subgroup of the group of, conformal and anti-conformal, isometries of the hyperbolic plane H 2 such that H 2 / Δ is compact.… read more here.
Keywords: subgroups non; computing signatures; euclidean crystallographic; crystallographic groups ... See more keywords