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pro vyhledávání: '"Wise, Daniel T."'
Autor:
Chong, Hip Kuen, Wise, Daniel T.
We show that any partial ascending HNN extension of a free group embeds in an actual ascending HNN extension of a free group. Moreover, we can ensure that it embeds as the parabolic subgroup of a relatively hyperbolic group.
Comment: 16 pages, 1
Comment: 16 pages, 1
Externí odkaz:
http://arxiv.org/abs/2408.00453
We prove the set of growth-rates of subgroups of a rank~$r$ free group is dense in $[1,2r-1]$. Our main technical contribution is a concentration result for the leading eigenvalue of the non-backtracking matrix in the configuration model.
Externí odkaz:
http://arxiv.org/abs/2404.07321
Given a non-positively curved cube complex $X$, we prove that the quotient of $\pi_1X$ defined by a cubical presentation $\langle X\mid Y_1,\dots, Y_s\rangle$ satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provid
Externí odkaz:
http://arxiv.org/abs/2309.16860
Autor:
Abdenbi, Brahim, Wise, Daniel T.
We show that any compact nonpositively curved cube complex $Y$ embeds in a compact nonpositively curved cube complex $R$ where each combinatorial injective partial local isometry of $Y$ extends to an automorphism of $R$. When $Y$ is special and the c
Externí odkaz:
http://arxiv.org/abs/2309.15974
Autor:
Abdenbi, Brahim, Wise, Daniel T.
Given a monomorphism $\Psi:\mathcal{H}\rightarrow \mathcal{F}$ where $\mathcal{H}$ is a proper free factor of the free group $\mathcal{F}$, we show the associated mapping torus $X$ of $\Psi$ has negative immersions iff $\mathcal{H}$ has finite height
Externí odkaz:
http://arxiv.org/abs/2309.15961
Autor:
Chemtov, Max, Wise, Daniel T.
Every 2-dimensional spine of an aspherical 3-manifold has the nonpositive towers property, but every collapsed 2-dimensional spine of a 3-ball containing a 2-cell has an immersed sphere.
Comment: 7 pages, 2 figures
Comment: 7 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2210.01395
Autor:
Chong, Hip Kuen, Wise, Daniel T.
Publikováno v:
Journal of Group Theory, 25(2), 207-216 (2021)
We study a family of finitely generated residually finite groups. These groups are doubles $F_2*_H F_2$ of a rank-$2$ free group $F_2$ along an infinitely generated subgroup $H$. Varying $H$ yields uncountably many groups up to isomorphism.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/2207.00410
Autor:
Chong, Hip Kuen, Wise, Daniel T.
We study a family of finitely generated residually finite small cancellation groups. These groups are quotients of $F_2$ depending on a subset $S$ of positive integers. Varying $S$ yields continuously many groups up to quasi-isometry.
Comment: 5
Comment: 5
Externí odkaz:
http://arxiv.org/abs/2207.00354