Related papers: The Cremona group and its subgroups

We give a brief introduction to the notion of an 'approximate group' and some of its numerous applications.

This paper surveys some results and methods in topological transformation groups.

The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.

The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.

This is a survey of results on partially commutative groups and partially commutative algebras.

In this note for a topological group $G$, we introduce a bounded subset of $G$ and we find some relationships of this definition with other topological properties of $G$.

In this survey we discuss some combinatorial aspects of higher cluster categories.

We introduce and study the class of spherically ordered groups. The notions of spherically ordered groups and their spectra of spherical orderability are introduced. Values of these spectra are found for a series of natural groups.

This paper discusses some aspects of the history of the Paley graphs and their automorphism groups.

We study inert and compressed subgroups of free groups and provide a generalization of echelon subgroups.

We survey some results on toric topology.

This article is a survey of 0-cohomology of semigroups. The main attention is devoted to applications.

The Cremona group acts on the field of two independent commutative variables over complex numbers. We provide a non-commutative ring that is an analog of non-commutative field of two independent variables and prove that the Cremona group…

We classify all finite subgroups of the plane Cremona group which have a fixed point. In other words, we determine all rational surfaces X with an action of a finite group G such that X is equivariantly birational to a surface which has a…

This article studies the group generated by automorphisms of the projective space of dimension $n$ and by the standard birational involution of degree $n$. Every element of this group only contracts rational hypersurfaces, but in odd…

This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.

Consider an algebraically closed field k and the Cremona group of all birational transformations of the projective plane over k. We characterize infinite order elements of this group having a non-zero power generating a proper normal…

The structure of groups for which certain sets of commutator subgroups are finite is investigated, with a particular focus on the relationship between these groups and those with finite derived subgroup.

Computations in the cohomology of finite groups.

The authors investigate the structure of quasi-o-minimal groups. Among other results, they show that quasi-o-minimal groups are abelian, that quasi-o-minimal densely ordered archimedian groups are divisible, and that every divisible…