Results 101 to 110 of about 6,156 (235)

On nondiagonal finite quasi-quantum groups over finite abelian groups

, 2018
In this paper, we initiate the study of nondiagonal finite quasi-quantum groups over finite abelian groups. We mainly study the Nichols algebras in the twisted Yetter–Drinfeld module category kGkGYDokGkGYDo with oo a nonabelian 3-cocycle on a finite ...
Huang, Hua-Lin, Hua-Lin Huang, Yinhuo Zhang, YANG, Yuping, ZHANG, Yinhuo, Yuping Yang   +5 more
core   +1 more source

Nilpotent and abelian Hall subgroups in finite groups [PDF]

, 2016
First published in Transactions of the American Mathematical Society in volume 368 and number 4, APR 2016, published by the American Mathematical Society[EN] We give a characterization of the finite groups having nilpotent or abelian Hall pi-subgroups ...
Malle, Gunter, Tiep, Pham Huu, Beltran, Antonio, Moreto Quintana, Alexander, Felipe Román, María Josefa, Navarro Ortega, Gabriel, Solomon, Ronald, Sanus Vitoria, Lucia   +7 more
core   +1 more source

Primitivity testing in free group algebras via duality

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Let K$K$ be a field and F$F$ a free group. By a classical result of Cohn and Lewin, the free group algebra KF$K\left[F\right]$ is a free ideal ring (FIR): a ring over which the submodules of free modules are themselves free, and of a well‐defined rank. Given a finitely generated right ideal I⩽KF$I\leqslant K\left[F\right]$ and an element f∈I$f\
Matan Seidel, Danielle Ernst‐West, Doron Puder   +2 more
wiley   +1 more source

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

Discussiones Mathematicae - General Algebra and Applications, 2017
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Unextendible Sequences in Finite Abelian Groups [PDF]

The Electronic Journal of Combinatorics, 2008
Let $G=C_{n_1}\oplus \ldots \oplus C_{n_r}$ be a finite abelian group with $r=1$ or $1 < n_1|\ldots|n_r$, and let $S=(a_1,\ldots,a_t)$ be a sequence of elements in $G$. We say $S$ is an unextendible sequence if $S$ is a zero-sum free sequence and for any element $g\in G$, the sequence $Sg$ is not zero-sum free any longer.
openaire   +3 more sources

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

The Group Permanent Determines the Finite Abelian Group

The Electronic Journal of Combinatorics
Let $G$ be a finite abelian group of order $n$ and $\mathcal M_G$ the Cayley table of $G$. Let $\mathcal P(G)$ be the number of formally different monomials occurring in $\mathsf {per}(\mathcal M_G)$, the permanent of $\mathcal M_G$. In this paper, for any finite abelian groups $G$ and $H$, we prove the following characterization $$\mathcal P(G ...
Mao-Sheng Li, Hanbin Zhang
openaire   +2 more sources

THE STRUCTURE OF FINITE ABELIAN p-GROUPS BY THE ORDER OF THEIR SCHUR MULTIPLIERS

پژوهش‌های ریاضی, 2022
A well-known result of Green [4] shows for any finite p-group G of order p^n, there is an integer t(G) , say corank(G), such that |M(G)|=p^(1/2n(n-1)-t(G)) . Classifying all finite p-groups in terms of their corank, is still an open problem.
Mohsen Parvizi, Peyman Niroomand, Afsaneh Mohammadpour Yengjeh, Saeed Kayvanfar   +3 more
doaj  

Anomaly-safe discrete groups

Physics Letters B, 2015
We show that there is a class of finite groups, the so-called perfect groups, which cannot exhibit anomalies. This implies that all non-Abelian finite simple groups are anomaly-free. On the other hand, non-perfect groups generically suffer from anomalies.
Mu-Chun Chen, Maximilian Fallbacher, Michael Ratz, Andreas Trautner, Patrick K.S. Vaudrevange   +4 more
doaj   +1 more source