Results 41 to 50 of about 431 (150)

Crystallographic groups with trivial center and outer automorphism group [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2017
AbstractLet Γ be a crystallographic group of dimension n, i.e. a discrete, cocompact subgroup of Isom(ℝn) = O(n) ⋉ ℝn. For any n ⩾ 2, we construct a crystallographic group with a trivial center and trivial outer automorphism group.
Rafał Lutowski, Andrzej Szczepański
openaire   +3 more sources

Investigating 9d/8d non-supersymmetric branes and theories from supersymmetric heterotic strings

Journal of High Energy Physics
We consider heterotic string theories in nine and eight dimensions. We identify the disconnected part of the spacetime gauge group by studying the outer automorphism of the charge lattices.
Yuta Hamada, Arata Ishige
doaj   +1 more source

Characterizations of normal cancellative monoids

AIMS Mathematics
Normal cancellative monoids were introduced to explore the general structure of cancellative monoids, which are innovative and open up new possibilities.
Hui Chen
doaj   +1 more source

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

Outer automorphisms of free Burnside groups [PDF]

Commentarii Mathematici Helvetici, 2013
In this paper, we study some properties of the outer automorphism group of free Burnside groups of large odd exponent. In particular, we prove that it contains free and free abelian subgroups.
openaire   +5 more sources

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

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

Commensurations of the outer automorphism group of a universal Coxeter group

Groups, Geometry, and Dynamics, 2023
This paper studies the rigidity properties of the abstract commensurator of the outer automorphism group of a universal Coxeter group of rank n , which is the free product W_n of n
openaire   +2 more sources

Outer automorphisms of groups [PDF]

Illinois Journal of Mathematics, 1991
Dugas, Manfred, Göbel, Rüdiger
openaire   +2 more sources

A Kazhdan group with an infinite outer automorphism group

Surveys in Mathematics and its Applications, 2011
D. Kazhdan has introduced in 1967 the Property (T) for local compact groups. In this article we prove that for $n\geq 3$ and $m \in \mathbb{N}$ the group $SL_n(\textbf{K})\ltimes \mathcal{M}_{n,m}(\textbf{K})$ is a Kazhdan group having the outer automorphism group infinite.
openaire   +3 more sources