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4 votes
0 answers
65 views

Is there an algorithm to check that a subgroup of a CAT$(0)$ group is *not* quasiconvex?

Let $G$ be a finitely generated CAT$(0)$ group and $H$ a subgroup. If $H$ is quasiconvex then it is finitely generated, so we can immediately conclude that any non-finitely generated subgroup of $G$ ...
David Sheard's user avatar
  • 2,382
10 votes
3 answers
905 views

What sort of groups are generated by a single conjugacy class?

To clarify, I am not looking for a classification but rather for well-researched examples of families of (finitely generated) groups generated by a single conjugacy class. A collection of examples, ...
Levi's user avatar
  • 4,786