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WHEN IS THE AUTOMORPHISM GROUP OF AN AFFINE VARIETY NESTED?
For an affine algebraic variety X , we study the subgroup Aut alg ( X ) of the group of regular automorphisms Aut( X ) of X generated by all the connected...
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Map**s of Finite Area Distortion: Hausdorff Measures
In this paper we continue studying homeomorphisms of finite area distortion in the frame of Hausdorff measures.
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Finite 3-Orbit Polyhedra in Ordinary Space I
We study polyhedra in the skeletal sense, where faces consist of merely a frame without any membrane. A 3-Orbit polyhedron is one where the symmetry...
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Representation Stability and Finite Orthogonal Groups
In this paper, we prove homological stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and...
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Finite Groups Isospectral to Simple Groups
The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of...
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Finite 4-Primary Groups with Disconnected Gruenberg–Kegel Graph Containing a Triangle
We give a description of finite 4-primary groups with disconnected Gruenberg–Kegel graph containing a triangle. As a corollary, finite groups whose...
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The Szymczak Functor and Shift Equivalence on the Category of Finite Sets and Finite Relations
The construction of the Conley index for dynamical systems with discrete time requires an equivalence relation between morphisms induced on index...
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Inverse monoids of partial graph automorphisms
A partial automorphism of a finite graph is an isomorphism between its vertex-induced subgraphs. The set of all partial automorphisms of a given...
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On exotic symmetries of finite type models
We study the infinitesimal CR automorphisms of polynomial model hypersurfaces of finite multitype, which violates 2-jet determination. We give an...
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Classification of finite structurally uniform nilsemigroups
A finite semigroup S is called structurally uniform if any two subsemigroup of S are isomorphic whose heights in the partially ordered set of all...
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The Monoidal Hom–Hopf Algebra Arising From Partial Hom-Actions
In this paper, we mainly focus on how to use Hom-partial actions to construct a new monoidal Hom–Hopf algebra. For this, we first introduce the...
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On Algebras of Finite General Representation Type
We introduce the notion of “finite general representation type” for a finite-dimensional algebra, a property related to the “dense orbit property”...
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Finite groups as prescribed polytopal symmetries
We study properties of the realizations of groups as the combinatorial automorphism group of a convex polytope. We show that for any non-abelian...
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On Representations of Finite Groups
When groups were discovered, during the XIXth century, there were no “abstract groups” (like “a set endowed with a law which is associative, etc.”)....
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Drinfeld Modules over Finite Fields
In this chapter we study Drinfeld modules defined over a finite field...