Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Karen Vogtmann"'
Publikováno v:
Oberwolfach Reports. 19:517-576
The overall theme of the conference was geometric group theory, interpreted quite broadly. In general, geometric group theory seeks to understand algebraic properties of groups by studying their actions on spaces with various topological and geometri
For any right-angled Artin group $A_{\Gamma}$ we construct a finite-dimensional space $\mathcal{O}_{\Gamma}$ on which the group $\text{Out}(A_{\Gamma})$ of outer automorphisms of $A_{\Gamma}$ acts with finite point stabilizers. We prove that $\mathca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b247ebe067db90d1aa2062225dcc5aac
http://wrap.warwick.ac.uk/164727/1/WRAP-Outer-space-for-RAAGs-Vogtmann-2022.pdf
http://wrap.warwick.ac.uk/164727/1/WRAP-Outer-space-for-RAAGs-Vogtmann-2022.pdf
Autor:
Karen Vogtmann, Benjamin Millard
We construct free abelian subgroups of the group $U(A_\Gamma)$ of untwisted outer automorphisms of a right-angled Artin group, thus giving lower bounds on the virtual cohomological dimension. The group $U(A_\Gamma)$ was previously studied by Charney,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0812fac2564b0dba3fb5a6026b011662
http://wrap.warwick.ac.uk/128403/7/WRAP-cube-complexes-abelian-automorphism-Vogtmann-2019.pdf
http://wrap.warwick.ac.uk/128403/7/WRAP-cube-complexes-abelian-automorphism-Vogtmann-2019.pdf
Publikováno v:
Journal of the London Mathematical Society. 98:12-34
We give a simple construction of an equivariant deformation retract of Outer space which is homeomorphic to the Bestvina-Feighn bordification. This results in a much easier proof that the bordification is (2n-5)-connected at infinity, and hence that
Publikováno v:
Geom. Topol. 21, no. 2 (2017), 1131-1178
For a right-angled Artin group $A_\Gamma$, the untwisted outer automorphism group $U(A_\Gamma)$ is the subgroup of $Out(A_\Gamma)$ generated by all of the Laurence-Servatius generators except twists (where a {\em twist} is an automorphisms of the for
Autor:
Karen Vogtmann
Publikováno v:
Hyperbolic Geometry and Geometric Group Theory, K. Fujiwara, S. Kojima and K. Ohshika, eds. (Tokyo: Mathematical Society of Japan, 2017)
This note contains a newly streamlined version of the original proof that Outer space is contractible.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32a59f152f508e4db4d21b7c34947616
https://projecteuclid.org/euclid.aspm/1538671949
https://projecteuclid.org/euclid.aspm/1538671949
Autor:
Allen Hatcher, Karen Vogtmann
Publikováno v:
Algebr. Geom. Topol. 17, no. 3 (2017), 1871-1916
Homological stability for sequences of groups is often proved by studying the spectral sequence associated to the action of a typical group in the sequence on a highly-connected simplicial complex whose stabilizers are related to previous groups in t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80b732bd818e3a24e95403489a2d4c81
https://projecteuclid.org/euclid.agt/1510841412
https://projecteuclid.org/euclid.agt/1510841412
Autor:
Karen Vogtmann
Publikováno v:
Bulletin of the American Mathematical Society. 52:27-46
Outer space is a space of graphs used to study the group Out(Fn) of outer automorphisms of a finitely generated free group. We discuss an emerging metric theory for Outer space and some applications to Out(Fn).