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Results tagged with one-relator-groups
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user 1463
Finitely presented groups having a single relator
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
10
votes
Subgroups of one-relator groups
There have been a couple of recent results which demonstrate that the class of subgroups of one-relator groups is very rich. For instance, Calegari–Walker proved that a random 1-relator group contain …
- 25.2k