Related papers: Left $3$-Engel elements in groups: A survey
Automorphism groups of $2$-groups of coclass at most $3$ are investigated.
The various mass relations among members of quark and lepton families are given. Three mass relations for the charm, beauty, and top quark family members are given and three mass relations for the electron, muon, and tau lepton family…
We study and relate certain actions and extensions involving 2-groups.
This is a survey article about parabolic bundles and parabolic Higgs bundles.
We construct explicitly groups associated to specific ternary algebras which extend the Lie (super)algebras (called Lie algebras of order three). It turns out that the natural variables which appear in this construction are variables which…
This short note collects three open questions on cut groups (a class of groups generalizing rational groups).
The CRESST experiment observes an unexplained excess of events at low energies. In the current CRESST-III data-taking campaign we are operating detector modules with different designs to narrow down the possible explanations. In this work,…
A subsemigroup $S$ of an inverse semigroup $Q$ is a left I-order in $Q$, if every element in $Q$ can be written as $a^{-1}b$ where $a, b \in S$ and $a^{-1}$ is the inverse of $a$ in the sense of inverse semigroup theory. We study a…
In this paper, we study partial actions of groups on $R$-algebras, where $R$ is a commutative ring. We describe the partial actions of groups on the indecomposable algebras with enveloping actions. Then we work on algebras that can be…
This is a survey of results on partially commutative groups and partially commutative algebras.
We study constructions of groups, in particular of groups of intermediate rank, which are accessible to surgery techniques.
In this work we show that light right-handed neutrinos, with mass in the sub-eV scale, is a natural outcome in a 3-3-1 model. By considering effective dimension five operators, the model predicts three light right-handed neutrinos, weakly…
We study the class of rings $R$ with the property that for $x\in R$ at least one of the elements $x$ and $1+x$ are tripotent.
Given a compact oriented triangulated $3$-manifold we find a non-trivial condition satisfied by certain labelings of the tetrahedra by elements of an arbitrary abelian group which we call angle structures. Smoothness of the manifold is used…
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 $G$.
A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is…
We study the distribution of principal ideals generated by irreducible elements in an algebraic number field.
We establish a connection between constructible representations (arising in the study of left cells in Weyl groups) and Catalan numbers.
In this paper we study semigroups satisfying the identity $aba=ab$.
We introduce the notion of multielement order separability and study this property for free groups and free products.