Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Bering IV, Edgar A."'
The sphere graph of $M_r$, a connect sum of $r$ copies of $S^1\times S^2$ was introduced by Hatcher as an analog of the curve graph of a surface to study the outer automorphism group of a free group $F_r$. Bestvina, Bromberg, and Fujiwara proved that
Externí odkaz:
http://arxiv.org/abs/2405.10932
We prove that if $G_\phi=\langle F, t| t x t^{-1} =\phi(x), x\in F\rangle$ is the mapping torus group of an injective endomorphism $\phi: F\to F$ of a free group $F$ (of possibly infinite rank), then every two-generator subgroup $H$ of $G_\phi$ is ei
Externí odkaz:
http://arxiv.org/abs/2405.08985
An outer automorphism of a free group is geometric if it can be represented by a homeomorphism of a compact surface. Bestvina and Handel gave an algorithmic characterization of geometric irreducible outer automorphisms using relative train tracks in
Externí odkaz:
http://arxiv.org/abs/2310.04402
A subcomplex $X\leq \mathcal{C}$ of a simplicial complex is strongly rigid if every locally injective, simplicial map $X\to\mathcal{C}$ is the restriction of a unique automorphism of $\mathcal{C}$. Aramayona and the second author proved that the curv
Externí odkaz:
http://arxiv.org/abs/2204.02204
Autor:
Bering IV, Edgar A., Lazarovich, Nir
Takahasi and Higman independently proved that any ascending chain of subgroups of constant rank in a free group must stabilize. Kapovich and Myasnikov gave a proof of this fact in the language of graphs and Stallings folds. Using profinite techniques
Externí odkaz:
http://arxiv.org/abs/2111.11777
P. Hall constructed a universal countable locally finite group U, determined up to isomorphism by two properties: every finite group C is a subgroup of U, and every embedding of C into U is conjugate in U. Every countable locally finite group is a su
Externí odkaz:
http://arxiv.org/abs/2111.06577
The full solenoid over a topological space $X$ is the inverse limit of all finite covers. When $X$ is a compact Hausdorff space admitting a locally path connected universal cover, we relate the pointed homotopy equivalences of the full solenoid to th
Externí odkaz:
http://arxiv.org/abs/2108.10586
Autor:
Bering IV, Edgar A., Futer, David
Given a prime, alternating link diagram, we build a special cover of the link complement whose degree is bounded by a factorial function of the crossing number. It follows that a subgroup of the link group of that index embeds into right-angled Artin
Externí odkaz:
http://arxiv.org/abs/1909.12266
Autor:
Bering IV, Edgar A.
This article provides a decidable criterion for when a subgroup of Out(Fr) generated by two Dehn twists consists entirely of polynomially growing elements, answering an earlier question of the author.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/1810.07633
Autor:
Bering IV, Edgar A.
McCarthy's Theorem for the mapping class group of a closed hyperbolic surface states that for any two mapping classes $\sigma,\tau \in \mathrm{Mod}(S)$ there is some power $N$ such that the group $\langle \sigma^N,\tau^N\rangle$ is either free of ran
Externí odkaz:
http://arxiv.org/abs/1709.07468