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On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs
We investigate the automorphism group of the substructure ordering of finite directed graphs. The second author conjectured that it is isomorphic to...
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Cohomology-developed matrices: constructing families of weighing matrices and automorphism actions
The aim of this work is to construct families of weighing matrices via their automorphism group action. The matrices can be reconstructed from the...
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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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On the liftability of the automorphism group of smooth hypersurfaces of the projective space
Let X be a smooth hypersurface of dimension n ≥ 1 and degree d ≥ 3 in the projective space given as the zero set of a homogeneous form F . If ( n , d ) ≠...
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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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Numerical ranges of composition operators with elliptic automorphism symbols
In this paper, we investigate the numerical ranges of composition operators, whose symbols are elliptic automorphisms of finite orders on the...
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Orbits of the Automorphism Group of Horospherical Varieties, and Divisor Class Group
AbstractIn 2013 Bazhov proved a criterion for two points on a complete toric variety to lie in the same orbit of the neutral component of the...
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Partial automorphisms and injective partial endomorphisms of a finite undirected path
In this paper, we study partial automorphisms and, more generally, injective partial endomorphisms of a finite undirected path from Semigroup Theory...
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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...
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Automorphism Groups of Formal Matrix Rings
We study automorphism groups of formal matrix algebras. In some cases, such a group turns out the semidirect product of subgroups with familiar...
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Uniformization of Domains with Large Automorphism Groups
In this chapter we extend the Wong-Rosay theorem to pseudoconvex domains in...
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Finite Dimensional Lie Algebras
Another fertile field to explore the link between algebraic relations of the matrices and the properties of their characteristic polynomial is where...
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Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups
For any orientable finite-volume hyperbolic 3-manifold, this paper proves that the profinite isomorphism type of the fundamental group uniquely...
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On some pre-orders and partial orders of linear operators on infinite dimensional vector spaces
This article is devoted to the generalization of the Drazin pre-order and the G-Drazin partial order to Core-Nilpotent endomorphisms over arbitrary k -...