Counting $(1,β)$-BM relations and classifying $(2,2)$-BM groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114234In the first part, we prove that the number of $(1,β)$-BM relations is $3 \cdot 5 \cdot \ldots \cdot (2β+ 1)$, which was conjectured by Kimberley. In the second part, we construct two isomorphisms between certain $(2,2)$-BM groups. This completes the classification of $(2,2)$-BM groups initiated by Kimberley and Robertson.11 pagesGroup TheoryCounting $(1,β)$-BM relations and classifying $(2,2)$-BM groupstext