Cohomology and extensions of ordered groupoids
Group Theory
2017-02-22 v1
Abstract
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomology from an extension of ordered groupoids, and show that this sequence leads to a classification of extensions by a second cohomology group. Our methods use structural ideas in cohomology as far as possible, rather than computation with cocycles.
Keywords
Cite
@article{arxiv.1702.06333,
title = {Cohomology and extensions of ordered groupoids},
author = {B. O. Bainson and N. D. Gilbert},
journal= {arXiv preprint arXiv:1702.06333},
year = {2017}
}
Comments
18 pages