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Education
Ph.D. in Mathematics, University of Oregon, 1987
M.S. in Mathematics, University of Oregon, 1983
A.B. in Mathematics, Dartmouth College, 1981
Research
Research Field:
Topological Group Theory
Research Description:
Recent Papers:
William A. Bogley, Martin Edjvet, and Gerald Williams, Aspherical relative presentations all over again, to appear in Groups St. Andrews 2017 (31 pp). arXiv:1809.03460.
Willam A. Bogley and Forrest W. Parker, Cyclically presented groups with length four positive relators, J. Group Theory 21 (2018), 911-948, published online 6/15/2018. arXiv:1611.05496
W. A. Bogley and Gerald Williams, Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups, J. Algebra 480 (2017) 266–297. arXiv:1606.00216
W. A. Bogley and Gerald Williams, Efficient finite groups arising in the study of relative asphericity, Math. Z. (2016) 284:507–535. PDFarXiv:1607.01951
W. A. Bogley, On shift dynamics for cyclically presented groups, J. Algebra 418 (2014), 154-173. PDFarXiv:1312.5382
Areas of interest and publication:
Structure and shift dynamics for cyclically (and symmetrically) presented groups
Asphericity of cell complexes and cohomology of groups
Relative homotopy groups and equations over groups
Actions on cell complexes and finiteness properties of groups
Combinatorial geometry and algorithmic/decidability properties of groups
Wild metric cell complexes and omega-group structures, in which certain infinite products can be formed subject to suitable generalizations of the associativity axiom.
OREGON STATE UNIVERSITY
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