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jpmacmanus
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DPhil/PhD candidate at the University of Oxford, interested mainly in combinatorial and geometric group theory, with a lean towards algorithmic problems.

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10
Reference request: Recent progress on the conjugacy problem for torsion-free one-relator groups?
Apr 17, 2020
question
8
For which planar topological spaces $Z$ does there exist a hyperbolic group $\Gamma$ with $\partial \Gamma \cong Z$?
Dec 19, 2021
question
6
Does the visual boundary of any one-ended Cayley graph contain at least three points?
Jan 2, 2023
question
5
Given a quasi-convex subgroup $H$ of hyperbolic $G$, can we decide if two elements $x,y \in G$ lie in the same double coset of $H$?
Mar 10, 2022
question
5
Can we define partial group actions on (finite) sets via generators and relators?
Apr 16, 2022
question
4
Let $G$ be an accessible f.g. group, then can we bound the number of vertex orbits in a reduced $G$-tree with finite edge-stabilisers?
Aug 18, 2021
question
2
Can the stabiliser of a 'parabolic end' of a group stabilise an invariant line?
Jul 5, 2023
question
1
Let $H$ be a co-dimension 1 quasiconvex subgroup of a one-ended hyperbolic group $H$. Does $H$ permute the components of $\partial G - \Lambda H?$
Aug 4, 2022
answer
1
Can the stabiliser of a 'parabolic end' of a group stabilise an invariant line?
Jul 5, 2023
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Show that ${{2m} \choose {m}} \leq \frac{2^{2m}}{\sqrt{2m}}$.