12 citations · 23 across the 4 of their papers we have counts for
5 papers
Aspherical Relative Presentations All Over Again
William A. Bogley, Martin Edjvet, Gerald Williams
The concept of asphericity for relative group presentations was introduced twenty five years ago. Since then, the subject has advanced and detailed asphericity classifications have…
Cyclically presented groups with length four positive relators
William A. Bogley, Forrest W. Parker
For cyclically presented groups with positive length four relators in the free group with basis , we classify finiteness…
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 , that arise in the study of relative asphericity as groups satisfying a transitional curvature condition. P…
Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups
W. A. Bogley, Gerald Williams
We study a class of cyclically presented groups that includes both finite and infinite groups and is defined by a certain combinatorial condition on the defining rel…
Unions of Cockroft two-complexes
William A. Bogley
A combinatorial group-theoretic hypothesis is presented that serves as a necessary and sufficient condition for a union of connected Cockcroft two-complexes to be Cockcroft. This h…