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Results tagged with property-t
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user 1463
13
votes
Is there a one relator group with property (T)?
In fact, much more is true: if $H$ is a finitely generated subgroup of a one-relator group and $H$ has property (T) then $H$ is finite. Indeed, a classical theorem of Brodskii and Howie asserts that t …
- 25.2k
4
votes
Accepted
Residual finiteness of random groups with property (T)
This is an open question: there are no densities $1/2>d\geq 1/6$ where a random group is known to be residually finite. Any progress would be a major step forward.
As mentioned in the question, at den …
- 25.2k