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On the injectivity of the homomorphisms from the automorphism groups of fields to the outer automorphism groups of the absolute Galois groups
In the present paper, we discuss the injectivity of the natural homomorphism from the automorphism group of a given field to the outer automorphism...
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The Automorphism Groups of One-Generator Leibniz Algebras
This chapter delves into the automorphism groups of one-generator Leibniz algebras.
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On the Virtual Potency of Automorphism Groups and Split Extensions
We obtain some sufficient conditions for potency and virtual potency for automorphism groups and the split extensions of some groups. In particular,...
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On the Automorphism Groups for Some Leibniz Algebras of Low Dimensions
We study the automorphism groups of Leibniz algebras of low dimensions and obtain complete descriptions of the automorphism groups of Leibniz...
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Automorphism groups of cyclic orbifold vertex operator algebras associated with the Leech lattice and some non-prime isometries
We determine the automorphism groups of the cyclic orbifold vertex operator algebras associated with coinvariant lattices for isometries of the Leech...
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On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields
In the present paper, we study the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields from the point of...
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Three infinite families of chiral 4-polytopes with symmetric automorphism groups
In this paper, we give three infinite families of chiral 4-polytopes, with the automorphism group of each member of a family being symmetric. This...
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On the Automorphism Groups of Certain Branched Structures on Surfaces
We consider translation surfaces with poles on surfaces. We shall prove that any finite group appears as the automorphism group of some translation...
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Invariant Measures for Large Automorphism Groups of Projective Surfaces
We classify invariant probability measures for non-elementary groups of automorphisms, on any compact Kähler surface X , under the assumption that the...
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FAITHFUL ACTIONS OF AUTOMORPHISM GROUPS OF FREE GROUPS ON ALGEBRAIC VARIETIES
Considering a certain construction of algebraic varieties X endowed with an algebraic action of the group Aut( F n ), n < ∞, we obtain a criterion for...
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Automorphism groups and normal forms in Normaliz
We discuss the computation of automorphism groups and normal forms of cones and polyhedra in Normaliz and indicate its implementation via nauty. The...
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On the topological dynamics of automorphism groups: a model-theoretic perspective
We give a model-theoretic treatment of the fundamental results of Kechris-Pestov-Todorčević theory in the more general context of automorphism groups...
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Automorphism Groups of ind-Varieties of Generalized Flags
We compute the group of automorphisms of an arbitrary ind-variety of (possibly isotropic) generalized flags. Such an ind-variety is a homogeneous...
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Automorphism Groups of Simple Abelian Fourfolds over Finite Fields and Jordan Constants
We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of simple polarized...
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Automorphism groups of 3-orbit polyhedra
A 3-orbit polyhedron is one in which the automorphism group has exactly 3 orbits on the set of incident triples ( vertex , edge , face ). Examples of...
