Related papers: Left $3$-Engel elements in groups: A survey
We study inert and compressed subgroups of free groups and provide a generalization of echelon subgroups.
Inner relations are derived between partial augmentations of certain elements (units or idempotents) in group rings.
We determine the structure of the ring of Siegel modular forms of degree 2 in characteristic 3.
A theory of cyclic elements in semisimple Lie algebras is developed. It is applied to an explicit construction of regular elements in Weyl groups.
We survey some results on toric topology.
This is a survey on left invariant semi-Riemannian metrics on compact Lie groups.
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 research provides a characterization of centralizer-like subgroups associated with the $n$-Engel word in a direct product of groups. Specifically, properties of the set of right $n$-Engel elements inside of direct products are…
We study those group rings whose group of units is hyperbolic.
Given a finite group $G$, the Engel graph of $G$ is a directed graph encoding pairs of elements satisfying some Engel word. From the work of Detomi, Lucchini and Nemmi, the strongly connectivity of the Engel graph of an arbitrary group $G$…
We determine sets of elements which, under certain conditions, generate an intersection of ideals up to radical.
This survey deals with the Cremona group via its subgroups.
We prove that any left-ordered inp-minimal group is abelian, and we provide an example of a non-abelian left-ordered group of dp-rank 2.
We investigate the occurrence of elements of order $p$ in the upper central series of a finite $p$-group.
This paper surveys some results and methods in topological transformation groups.
This paper introduces and studies the higher-order group inverse in a ring. We extend known properties of the higher-order group inverse from complex matrices to elements of a ring and, in the process, derive new results. We further…
The report from the working group on '\gamma\gamma Event Generators' of the LEP 2 workshop
We introduce a ring and a field, generated by a semigroup, and we investigate some of their properties.
Let us consider a polynomial algebra in three variables equipped with an integer grading. We construct a system of group-generating automorphisms that preserve a given grading.
We study Weyl elements in isotropic reductive groups over commutative rings. Our main result in an explicit formula for squares of such elements. We also classify these elements in rank one groups and prove basic properties of their loci.