# Department of Pure Mathematics and Mathematical Statistics

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
(2019)
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
Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes
J Button
(2017)
60,
54
Nonhyperbolic free-by-cyclic and one-relator groups
JO Button, RP Kropholler
– New York Journal of Mathematics
(2016)
22,
755
Groups and Embeddings in SL(2, C)
JO Button
– Communications in Algebra
(2016)
44,
265
Transversals as generating sets in finitely generated groups
J Button, M Chiodo, MZM Laris
– Bulletin of the Australian Mathematical Society
(2016)
93,
47
Growth in Infinite Groups of Infinite Subsets
JO Button
– Algebra Colloquium
(2015)
22,
333
An explicit upper bound for the Helfgott delta in SL(2, p)
J Button, CM Roney-Dougal
– Journal of Algebra
(2015)
421,
493
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