W. A. Bogley

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most citedEfficient Finite Groups Arising in the Study of Relative Asphericity

12 citations · 23 across the 4 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.GR2016

Cyclically presented groups with length four positive relators

William A. Bogley, Forrest W. Parker

For cyclically presented groups $G = G_{n} (w)$ with positive length four relators $w = x_{0} x_{j} x_{k} x_{l}$ in the free group with basis $x_{0}, x_{1}, \dots, x_{n - 1}$ , we classify finiteness…

math.GR2016★ 12 cited

Efficient Finite Groups Arising in the Study of Relative Asphericity

William A. Bogley, Gerald Williams

We study a class of two-generator two-relator groups, denoted $J_{n} (m, k)$ , that arise in the study of relative asphericity as groups satisfying a transitional curvature condition. P…

math.GR2016★ 1 cited

Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups

W. A. Bogley, Gerald Williams

We study a class $M$ of cyclically presented groups that includes both finite and infinite groups and is defined by a certain combinatorial condition on the defining rel…