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On the Group of Computable Automorphisms of the Linear Order of the Reals
We study the group \(\textrm{Aut}_c(\mathbb {R})\)...
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General Linear Projective Automorphisms
Let \((\mathcal X,\mathcal D)\) be a general...
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On Coarse Homomorphisms and Coarse Automorphisms
In this chapter we study the group of coarse automorphisms of (coarsely connected) coarse groups.
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Automorphisms
We examine a unique type of isomorphism from a group onto itself, as it is imperative in understanding the complexity of many algebraic structures....
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Finite Groups with a Soluble Group of Coprime Automorphisms Whose Fixed Points Have Bounded Engel Sinks
Suppose that a finite group G admits a soluble group of coprime automorphisms A. We prove that if, for some positive integer m , every element of the...
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Entropy of real rational surface automorphisms: actions on the fundamental groups
This article develops a method to compute the action induced on the fundamental group by an automorphism of a real rational surface. Then, it uses...
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Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups
We study some families of finite groups having inner class-preserving automorphisms. In particular, let G be a finite group and S be a semidihedral...
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Inner Automorphisms of Presheaves of Groups
It has been proven by Schupp and Bergman that the inner automorphisms of groups can be characterized purely categorically as those group...
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Periodic points of solenoidal automorphisms in terms of adeles
This article is about the periodic points characterization of automorphisms of some solenoids, whose duals are subgroups of algebraic number fields....
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Automorphisms of groups and a higher rank JSJ decomposition I: RAAGs and a higher rank Makanin-Razborov diagram
The JSJ decomposition encodes the automorphisms and the virtually cyclic splittings of a hyperbolic group. For general finitely presented groups, the...
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The Automorphisms of Differential Extensions of Characteristic p
Nonassociative differential extensions are generalizations of associative differential extensions, either of a purely inseparable field extension K ...
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An AEC framework for fields with commuting automorphisms
In this paper, we introduce an AEC framework for studying fields with commuting automorphisms. Fields with commuting automorphisms are closely...
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Automorphisms of Hyper-Reinhardt Free Spectrahedra
The free automorphisms of a class of Reinhardt free spectrahedra are trivial.
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Perturbations of Nonhyperbolic Algebraic Automorphisms of the 2-Torus
AbstractAll nonhyperbolic automorphisms of the 2-torus are not structurally stable, and it is generally impossible to predict the dynamics of their...
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Group Theory
This textbook focuses on the basics and complex themes of group theory taught to senior undergraduate mathematics students across universities. The...
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Realising countable groups as automorphisms of origamis on the Loch Ness monster
It is known that every finite group can be represented as the full group of automorphisms of a suitable compact origami. In this paper, we provide a...
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Weight Decompositions on Algebraic Models for Map** Spaces and Homotopy Automorphisms
We obtain restrictions on the rational homotopy types of map** spaces and of classifying spaces of homotopy automorphisms by means of the theory of...
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Groups as automorphisms of dessins d’enfants
It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d’enfant. In this paper, we...
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GALOIS AUTOMORPHISMS AND CLASSICAL GROUPS
In a previous work, the second-named author gave a complete description of the action of automorphisms on the ordinary irreducible characters of the...