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of 49
pro vyhledávání: '"Louder, Larsen"'
We prove that all finitely generated fully residually free groups (limit groups) have a sequence of finite dimensional unitary representations that `strongly converge' to the regular representation of the group. The corresponding statement for finite
Externí odkaz:
http://arxiv.org/abs/2210.08953
Publikováno v:
In Journal of Functional Analysis 15 March 2025 288(6)
Autor:
Louder, Larsen, Wilton, Henry
Previously, the authors proved that the presentation complex of a one-relator group $G$ satisfies a geometric condition called negative immersions if every two-generator, one-relator subgroup of $G$ is free. Here, we prove that one-relator groups wit
Externí odkaz:
http://arxiv.org/abs/2107.08911
Autor:
Louder, Larsen, Wilton, Henry
We show that any one-relator group $G=F/\langle\langle w\rangle\rangle$ with torsion is coherent -- i.e., that every finitely generated subgroup of $G$ is finitely presented -- answering a 1974 question of Baumslag in this case.
Comment: 11 page
Comment: 11 page
Externí odkaz:
http://arxiv.org/abs/1805.11976
Autor:
Louder, Larsen, Wilton, Henry
We prove a freeness theorem for low-rank subgroups of one-relator groups. Let $F$ be a free group, and let $w\in F$ be a non-primitive element. The primitivity rank of $w$, $\pi(w)$, is the smallest rank of a subgroup of $F$ containing $w$ as an impr
Externí odkaz:
http://arxiv.org/abs/1803.02671
There are limit groups having non-conjugate elements whose images are conjugate in every free quotient. Towers over free groups are freely conjugacy separable.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/1612.00432
Publikováno v:
Selecta Math 23 (2017), 2019-2027
The main result of this article is a refinement of the well-known subgroup separability results of Hall and Scott for free and surface groups. We show that for any finitely generated subgroup, there is a finite dimensional representation of the free
Externí odkaz:
http://arxiv.org/abs/1510.04144
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Autor:
Louder, Larsen, Wilton, Henry
We prove Wise's $W$-cycles conjecture. Consider a compact graph $\Gamma'$ immering into another graph $\Gamma$. For any immersed cycle $\Lambda:S^1\to \Gamma$, we consider the map $\Lambda'$ from the circular components $\mathbb{S}$ of the pullback t
Externí odkaz:
http://arxiv.org/abs/1410.2540
Publikováno v:
Groups Geom. Dyn. 11 (2017), no. 1, 165-188
In this article, we study connections between representation theory and efficient solutions to the conjugacy problem on finitely generated groups. The main focus is on the conjugacy problem in conjugacy separable groups, where we measure efficiency i
Externí odkaz:
http://arxiv.org/abs/1312.1261