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pro vyhledávání: '"Karpinski, Chris"'
We show that if a group $G$ acts geometrically by type-preserving automorphisms on a building, then $G$ satisfies the weak Tits alternative, namely, that $G$ is either virtually abelian or contains a non-abelian free group.
Comment: 16 pages, 5
Comment: 16 pages, 5
Externí odkaz:
http://arxiv.org/abs/2306.16546
Autor:
Karpinski, Chris
We show that if $G$ is a finitely generated group hyperbolic relative to a finite collection of subgroups $\mathcal{P}$, then the natural action of $G$ on the geodesic boundary of the associated relative Cayley graph induces a hyperfinite equivalence
Externí odkaz:
http://arxiv.org/abs/2212.00236
Publikováno v:
In Journal of Algebra 15 October 2024 656:259-275
Autor:
Karpinski, Chris
In this note, we provide a (super-exponential time) algorithm to solve the generalized conjugacy problem in relatively hyperbolic groups, given solvability of the generalized conjugacy problem in each of the parabolic subgroups.
Externí odkaz:
http://arxiv.org/abs/2109.01763
We show that if a group $G$ acts geometrically by type-preserving automorphisms on a building, then $G$ satisfies the weak Tits alternative, namely, that $G$ is either virtually abelian or contains a non-abelian free group.
Comment: 15 pages, 6
Comment: 15 pages, 6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d1a53fac934252ccddeb7f110bc2347