Results 91 to 100 of about 83,964 (235)

On the number of outer automorphisms of the automorphism group of a right-angled Artin group [PDF]

Mathematical Research Letters, 2016
We show that there is no uniform upper bound on |Out(Aut(A))| when A ranges over all right-angled Artin groups. This is in contrast with the cases where A is free or free abelian: for all n, Dyer-Formanek and Bridson-Vogtmann showed that Out(Aut(F_n)) = 1, while Hua-Reiner showed |Out(Aut(Z^n)| = |Out(GL(n,Z))| < 5.
openaire   +3 more sources

Automorphisms of two-dimensional right-angled Artin groups

, 2007
We study the outer automorphism group of a right-angled Artin group A_G in the case where the defining graph G is connected and triangle-free. We give an algebraic description of Out(A_G) in terms of maximal join subgraphs in G and prove that the Tits ...
Behrstock, Bestvina, Bridson, Charney, Ghrist, Godelle, Guirardel, Guirardel, John Crisp, Karen Vogtmann, Laurence, Ruth Charney   +11 more
core   +2 more sources

Bounded projections to the Z$\mathcal {Z}$‐factor graph

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Suppose that G$G$ is a free product G=A1∗A2∗⋯∗Ak∗FN$G = A_1 * A_2* \cdots * A_k * F_N$, where each of the groups Ai$A_i$ is torsion‐free and FN$F_N$ is a free group of rank N$N$. Let O$\mathcal {O}$ be the deformation space associated to this free product decomposition. We show that the diameter of the projection of the subset of O$\mathcal {O}
Matt Clay, Caglar Uyanik
wiley   +1 more source

Code construction and ensemble holography of simply-laced WZW models at level 1

Journal of High Energy Physics
We introduce a code construction for Wess-Zumino-Witten (WZW) models associated with simply-laced affine Lie algebras at level 1. The chiral primary fields of these rational CFTs can be parametrized by the elements of the outer automorphism group of the ...
Nikolaos Angelinos
doaj   +1 more source

Twisting out fully irreducible automorphisms

, 2009
By a theorem of Thurston, in the subgroup of the mapping class group generated by Dehn twists around two curves that fill, every element not conjugate to a power of one of the twist is pseudo-Anosov.
Clay, Matt, Pettet, Alexandra
core   +2 more sources

Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley   +1 more source

CP-like symmetry with discrete and continuous groups and CP violation/restoration

Journal of High Energy Physics
We study physical implications of general CP symmetry including CP-like symmetry. Various scattering amplitudes of CP asymmetry are calculated in CP-like symmetric models.
Hiroshi Ohki, Shohei Uemura
doaj   +1 more source

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

All p-local finite groups of rank two for odd prime p

, 2004
In this paper we give a classification of the rank two p-local finite groups for odd p. This study requires the analisis of the possible saturated fusion systems in terms of the outer automorphism group ant the proper F-radical subgroups.
Diaz, Antonio, Ruiz, Albert, Viruel, Antonio   +2 more
core   +2 more sources

Quantum automorphism groups of lexicographic products of graphs

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract Sabidussi's theorem [Duke Math. J. 28 (1961), 573–578] gives necessary and sufficient conditions under which the automorphism group of a lexicographic product of two graphs is a wreath product of the respective automorphism groups. We prove a quantum version of Sabidussi's theorem for finite graphs, with the automorphism groups replaced by ...
Arnbjörg Soffía Árnadóttir, Josse van Dobben de Bruyn, Prem Nigam Kar, David E. Roberson, Peter Zeman   +4 more
wiley   +1 more source