The rational homology of the outer automorphism group of $F_7$
, 2015 4 pages text, computer code.
Laurent Bartholdi
openaire +5 more sources
Every compact group arises as the outer automorphism group of a II_1 factor [PDF]
, 2007 S'ebastien Falguieres, S. Vaes
semanticscholar +5 more sources
Commensurations of the outer automorphism group of a universal Coxeter group [PDF]
Groups, Geometry, and Dynamics, 2021 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 $n$ copies of $\mathbb{Z}/2\mathbb{Z}$.
Yassine Guerch
semanticscholar +1 more source
Maximum Order of Finite Abelian Subgroups in the Outer Automorphism Group of a Rank n Free Group
, 2001 Z. Bao
semanticscholar +2 more sources
Right‐angled Artin groups as finite‐index subgroups of their outer automorphism groups [PDF]
Bulletin of the London Mathematical Society, 2022 We prove that every right‐angled Artin group occurs as a finite‐index subgroup of the outer automorphism group of another right‐angled Artin group. We furthermore show that the latter group can be chosen in such a way that the quotient is isomorphic to ...
Manuel Wiedmer
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Outer automorphism groups of simple Lie algebras and symmetries of painted diagrams [PDF]
, 2022 Let g be a simple Lie algebra. Let Aut(g) be the group of all automorphisms on g, and let Int(g) be its identity component. The outer automorphism group of g is defined as Aut(g)/Int(g).
Meng‐Kiat Chuah, Mingjing Zhang
semanticscholar +1 more source
Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
doaj +1 more source
Free representations of outer automorphism groups of free products via characteristic abelian coverings [PDF]
Journal of group theroy, 2021 Given a free product 𝐺, we investigate the existence of faithful free representations of the outer automorphism group Out ( G ) \operatorname{Out}(G) , or in other words of embeddings of Out ( G ) \operatorname{Out}(G) into Out ( F m ...
A. Marchand
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AUTOMORPHISM AND OUTER AUTOMORPHISM GROUPS OF RIGHT-ANGLED ARTIN GROUPS ARE NOT RELATIVELY HYPERBOLIC [PDF]
Bulletin of the Australian Mathematical Society, 2021 We show that the automorphism groups of right-angled Artin groups whose defining graphs have at least three vertices are not relatively hyperbolic. We then show that the outer automorphism groups are also not relatively hyperbolic, except for a few ...
Junseok Kim +2 more
semanticscholar +1 more source
Construction of Discrete Symmetries Using the Pauli Algebra Form of the Dirac Equation
Physical Sciences Forum, 2023 Two equations whose variables take values in the Pauli algebra of complex quaternions are shown to be equivalent to the standard Dirac equation and its Hermitian conjugate taken together.
Avraham Nofech
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