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

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

2006-07-11

arxiv.org/abs/math/0607269v1

Mathematics

Group Theory

11 pages

Scientific paper

In the first part, we prove that the number of $(1,\beta)$-BM relations is $3
\cdot 5 \cdot \ldots \cdot (2\beta + 1)$, 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.

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