Faculty of Mathematics

Research Interests: Combinatorial and Geometric Group Theory, especially properties of fundamental groups of 3-manifolds and related groups

Publications

Tubular groups, 1-relator groups and nonpositive curvature
JO Button
– International Journal of Algebra and Computation
(2019)
29,
1367
Aspects of non positive curvature for linear groups with no infinite order unipotents
JO Button
– Groups Geometry and Dynamics
(2018)
13,
277
Free by cyclic groups and linear groups with restricted unipotent elements
JO Button
– Groups Complexity Cryptology
(2017)
9,
137
Acylindrical Hyperbolicity, non-simplicity and SQ-universality of groups splitting over $\mathbb{Z}$
JO Button
– Journal of Group Theory
(2017)
20,
371
The Uniqueness of the Prime Markoff Numbers
JO Button
– Journal of the London Mathematical Society
(2016)
58,
9
Tubular free by cyclic groups act freely on CAT(0) cube complexes
J Button
– Canadian Mathematical Bulletin
(2016)
60,
54
Nonhyperbolic free-by-cyclic and one-relator groups
JO Button, RP Kropholler
– The New York Journal of Mathematics
(2016)
22,
755
Groups and Embeddings in SL(2, C)
JO Button
– Communications in Algebra
(2015)
44,
265
Transversals as generating sets in finitely generated groups
J Button, M Chiodo, MZM Laris
– Bulletin of the Australian Mathematical Society
(2015)
93,
47
Growth in infinite groups of infinite subsets
JO Button
– Algebra Colloquium
(2015)
22,
333
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Research Group

Differential Geometry & Topology

C0.10

01223 765917