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Results tagged with combinatorial-group-theory
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user 7644
8
votes
Accepted
Does every group embed into a co-hopfian group?
Like with many problems solvable by small cancellation methods, the answer can be found by looking at A.Yu. Ol'shanskii's papers.
Indeed, take any countable group $H$. Without loss of generality we …
- 3,181
10
votes
Is an HNN extension of a virtually torsion-free group virtually torsion-free?
It is easy to construct a counter-example when $H$ and $K$ are not of finite index in $G$.
Let $A$ be a finitely presented torsion-free group which is not residually finite (e.g., the Baumslag-Solita …
- 3,181
14
votes
Accepted
Commutator problem vs conjugacy/word problem
Denis Osin [Osin, Denis, Small cancellations over relatively hyperbolic groups and embedding theorems, Ann. Math. (2) 172, No. 1, 1-39 (2010). ZBL1203.20031.] proved that every torsion-free countable …
- 3,181