Results 21 to 30 of about 431 (150)
Representation stability and outer automorphism groups
Documenta Mathematica, 2022 In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups \mathcal{U} . We encode this large amount of data into a convenient abelian category which generalizes the category of VI-modules appearing in the representation ...
Pol, Luca, Strickland, Neil P.
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Global form of flavor symmetry groups in 4d N=2 theories of class S
SciPost Physics, 2022 We provide a systematic method to deduce the global form of flavor symmetry groups in 4d N=2 theories obtained by compactifying 6d N=(2,0) superconformal field theories (SCFTs) on a Riemann surface carrying regular punctures and possibly outer ...
Lakshya Bhardwaj
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Dimension invariants of outer automorphism groups [PDF]
Groups, Geometry, and Dynamics, 2017 The geometric dimension for proper actions \underline{\mathrm{gd}}(G) of a group G is the minimal dimension of a classifying space for proper actions \underline{E}G .
Degrijse, Dieter, Souto, Juan
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Kazhdan groups with infinite outer automorphism group [PDF]
Transactions of the American Mathematical Society, 2006 For each countable group $Q$ we produce a short exact sequence $1\to N \to G \to Q\to 1$ where $G$ is f.g. and has a graphical $\frac16$ presentation and $N$ is f.g. and satisfies property $T$. As a consequence we produce a group $N$ with property $T$ such that $\Out(N)$ is infinite.
Ollivier, Yann, Wise, Daniel T.
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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
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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
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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
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Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case
Discrete Analysis, 2021 Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case, Discrete Analysis 2021:15, 35 pp. Symbolic dynamics is the study of dynamical systems of the following kind, known as _shift spaces_.
Collin Bleak +2 more
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Outer automorphism groups of metabelian groups
Journal of Pure and Applied Algebra, 2000 AbstractRecall that the outer automorphism group of a group G, denoted OutG, is the quotient group AutG/InnG. If M is any group, then there exists a torsion-free, metabelian group G with trivial center such that OutG≅M. This answers a problem in the Kourovka Notebook (Mazurov, Khukhro, Unsolved problems in group theory; the Kourovka Notebook, Russian ...
Rüdiger Göbel, Agnes T. Paras
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Outer automorphism groups of Bieberbach groups [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1996 Let Γ be a Bieberbach group it is a fundamental group of a flat manifold. In this paper we give necessary and sufficient conditions on Out(Γ) to be infinite. We also compare our result with the previous one ([8], Theorem 7.1) about Anosov automorphisms of flat manifolds. We give several examples of Bieberbach groups.
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