3 citations · 4 across the 4 of their papers we have counts for
4 papers
Groups with special presentations and star-graph
Bridgette Amoako, Ihechukwu Chinyere, Bernard Bainson
We consider a question of Edjvet and Vdovina concerning which groups defined by special presentations are large. For each integer , we construct an -generator one-relat…
Perfect Prishchepov groups
Ihechukwu Chinyere, Bernard Oduoku Bainson
We study cyclically presented groups of type to determine when they are perfect. It turns out that to do so, it is enough to consider the Prishchepov groups, so modu…
The homology of principally directed ordered groupoids
B. O. Bainson, N. D. Gilbert
We present some homological properties of a relation on ordered groupoids that generalises the minimum group congruence for inverse semigroups. When is a transitive relatio…
Cohomology and extensions of ordered groupoids
B. O. Bainson, N. D. Gilbert
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 cohomolog…