English

Buildings, group extensions and the cohomology of congruence subgroups

Group Theory 2016-09-07 v1 Algebraic Topology

Abstract

We use buildings and group extensions to compute lower bounds on the top Betti numbers for the cohomology of the level p congruence subgroups of SL(3,Z) and Sp(4,Z).

Keywords

Cite

@article{arxiv.math/9702234,
  title  = {Buildings, group extensions and the cohomology of congruence subgroups},
  author = {Alejandro Adem},
  journal= {arXiv preprint arXiv:math/9702234},
  year   = {2016}
}