Growth and order of automorphisms of free groups and free Burnside groups [PDF]
, 2013 We prove that an outer automorphism of the free group is exponentially growing if and only if it induces an outer automorphism of infinite order of free Burnside groups with sufficiently large odd exponent.Comment: 36 pages, 4 ...
Coulon, Rémi, Hilion, Arnaud
core +1 more source
Explicit examples of equivalence relations and II₁ factors with prescribed fundamental group and outer automorphism group [PDF]
, 2010 In this paper we give a number of explicit constructions for II$_1$ factors and II$_1$ equivalence relations that have prescribed fundamental group and outer automorphism group.
S. Deprez
semanticscholar +1 more source
On the outer automorphism groups of finitely generated, residually finite groups [PDF]
, 2014 Bumagin-Wise posed the question of whether every countable group can be realised as the outer automorphism group of a finitely generated, residually finite group.
Logan, Alan D.
core +3 more sources
Ten-dimensional origin of Minkowski vacua in N=8 supergravity
Physics Letters B, 2018 Maximal supergravity in four dimensions admits two inequivalent dyonic gaugings of the group SO(4)×SO(2,2)⋉T16. Both admit a Minkowski vacuum with residual SO(4)×SO(2)2 symmetry and identical spectrum. We explore these vacua and their deformations. Using
Emanuel Malek, Henning Samtleben
doaj +1 more source
On outer automorphism groups of coxeter groups
Manuscripta Mathematica, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Howlett, R.B. +2 more
openaire +2 more sources
A Kazhdan group with an infinite outer automorphism group [PDF]
Surveys in Mathematics and its Applications, 2012 D. Kazhdan has introduced in 1967 the Property (T) for local compact groups (see [D. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Funct. Anal. Appl. 1 (1967)]). In this article we prove that for n ≥ 3 and m
Traian Preda
doaj
Digraphs and cycle polynomials for free-by-cyclic groups [PDF]
, 2014 Let $\phi \in \mbox{Out}(F_n)$ be a free group outer automorphism that can be represented by an expanding, irreducible train-track map. The automorphism $\phi$ determines a free-by-cyclic group $\Gamma=F_n \rtimes_\phi \mathbb Z,$ and a homomorphism ...
Algom-Kfir, Yael +2 more
core +3 more sources
Automorphisms of complex reflection groups [PDF]
, 2009 Let $G\subset\GL(\BC^r)$ be a finite complex reflection group. We show that when $G$ is irreducible, apart from the exception $G=\Sgot_6$, as well as for a large class of non-irreducible groups, any automorphism of $G$ is the product of a central ...
Marin, Ivan, Michel, Jean
core +4 more sources
Codimension-two defects and Argyres-Douglas theories from outer-automorphism twist in 6D (2,0) theories [PDF]
Physical Review D, 2018 The 6d $(2,0)$ theory has codimension-one symmetry defects associated to the outer-automorphism group of the underlying ADE Lie algebra. These symmetry defects give rise to twisted sectors of codimension-two defects that are either regular or irregular ...
Y. Wang, Dan Xie
semanticscholar +1 more source
4d N $$ \mathcal{N} $$ =2 theories with disconnected gauge groups
Journal of High Energy Physics, 2017 In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 N $$ \mathcal{N} $$ = 2 SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 N $$ \mathcal{N} $$ = 2 ...
Philip C. Argyres, Mario Martone
doaj +1 more source