Results 41 to 50 of about 83,964 (235)
Exceptional moduli spaces for exceptional N $$ \mathcal{N} $$ = 3 theories
Journal of High Energy Physics, 2022 It is expected on general grounds that the moduli space of 4d N $$ \mathcal{N} $$ = 3 theories is of the form ℂ3r /Γ, with r the rank and Γ a crystallographic complex reflection group (CCRG). As in the case of Lie algebras, the space of CCRGs consists of
Justin Kaidi, Mario Martone, Gabi Zafrir
doaj +1 more source
On virtual indicability and property (T) for outer automorphism groups of RAAGs [PDF]
Groups, Geometry, and Dynamics, 2020 We give a condition on the defining graph of a right-angled Artin group which implies its automorphism group is virtually indicable, that is, it has a finite-index subgroup that admits a homomorphism onto $\Z$.
Andrew W. Sale
semanticscholar +1 more source
The shadow formalism of Galilean CFT2
Journal of High Energy Physics, 2023 In this work, we develop the shadow formalism for two-dimensional Galilean conformal field theory (GCFT2). We define the principal series representation of Galilean conformal symmetry group and find its relation with the Wigner classification, then we ...
Bin Chen, Reiko Liu
doaj +1 more source
$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]
, 2013 An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
core +3 more sources
The Outer Automorphism Groups of Two-Generator One-Relator Groups with Torsion [PDF]
, 2015 The main result of this paper is a complete classification of the outer automorphism groups of two-generator, one-relator groups with torsion. To this classification we apply recent algorithmic results of Dahmani--Guirardel, which yields an algorithm to ...
Logan, Alan D.
core +3 more sources
Lone Axes in Outer Space [PDF]
, 2015 Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in "Axes in Outer Space." In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line.
Mosher, Lee, Pfaff, Catherine
core +1 more source
Outer automorphism groups of metabelian groups
Journal of Pure and Applied Algebra, 2000 Given a group \(G\), the outer automorphism group \(\text{Out }G\) of \(G\) is given as \(\Aut G/\text{Inn }G\), the quotient of the group of all automorphisms by the group of inner automorphisms. There are a number of results about automorphisms of metablian groups which are reviewed here before the proof of the main result.
Rüdiger Göbel, Agnes T. Paras
openaire +2 more sources
On groups with a class-preserving outer automorphism [PDF]
Involve, a Journal of Mathematics, 2014 In 1911, Burnside asked whether or not there exist groups that have an outer automorphism which preserves conjugacy classes. Two years later he answered his own question by constructing a family of such groups. Using the small group library in MAGMA we determine all of the groups of order n < 512 that possess such an automorphism. Our investigations
Brooksbank, Peter, Mizuhara, Matthew
openaire +4 more sources
Outer automorphism groups of Bieberbach groups [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1996 For the fundamental group \(\Gamma\) of a flat manifold \(M\) (=a Bieberbach group), the paper gives necessary and sufficient conditions on \(\text{Out}(\Gamma)\) to be infinite. It also compares that result with a previous one due to \textit{H. L. Porteous} [Topology 11, 307-315 (1972; Zbl 0237.58015)], and gives several applications and examples of ...
openaire +3 more sources
Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]
, 2005 We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic
A. Borel +40 more
core +2 more sources