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Automorphisms of Hyperkähler Manifolds and Groups Acting on CAT(0) Spaces
We study groups of biholomorphic and bimeromorphic automorphisms of projective hyperkähler manifolds. Using a geometric action of these groups on...
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On sofic approximations of non amenable groups
In this paper we exhibit for every non amenable group that is initially sub-amenable (sometimes also referred to as LEA), two sofic approximations...
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Residually Finite Groups
This chapter is devoted to the study of residually finite groups, which form a class of groups of special importance in several branches of...
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Constructions of Quandles over Groups and Rings
We present the following constructions: extension of a trivial quandle by a group with a nontrivial abelian subgroup, a quandle over a noncommutative...
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Finite groups with some solvable SNS-groups
A finite group G is called an SNS-group if every subgroup of G is either subnormal in G or self-normalizing. In this article, we investigate the...
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Discrete Coxeter Groups
Coxeter groups are a special class of groups generated by involutions. They play important roles in the various areas of mathematics. This survey...
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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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The Inverse Galois Problem for Connected Algebraic Groups
We show that each connected group scheme of finite type over an arbitrary ground field is isomorphic to the component of the identity inside the...
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Riesz Multiresolution Analysis on Locally Compact Abelian Groups: Construction and Exceptions
AbstractIn this article, we construct a Riesz multiresolution analysis (MRA) on locally compact Abelian groups (LCA) starting from a suitably given...
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On Hopfianity and Co-Hopfianity of Acts Over Groups
A universal algebra is called Hopfian if any of its surjective endomorphisms is an automorphism, and co-Hopfian if injective endomorphisms are...
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ON THE CHARACTERIZATION OF DANIELEWSKI SURFACES BY THEIR AUTOMORPHISM GROUPS
In this note we show that if the automorphism group of a normal affine surface S is isomorphic to the automorphism group of a Danielewski surface,...
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Structure and automorphisms of pure virtual twin groups
The study of stable isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces is...
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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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Integrals of groups. II
An integral of a group G is a group H whose derived group (commutator subgroup) is isomorphic to G . This paper continues the investigation on...
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Small Profinite Groups
A finitely generated profinite group G has for each positive integer 𝑛 only finitely many open subgroups of index at most n (Lemma 19.1.2). Groups...
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Residually Finite Groups
This chapter is mainly devoted to residual finiteness of groups, monoids, and rings, and to the Hopf property for groups. It includes a discussion of...