6 citations · 12 across the 19 of their papers we have counts for
19 papers
Higher Commutativity in Finite Groups, Rigidity, Extremal bounds, and Heisenberg-Type Families
Vadim E Levit, Robert Shwartz
For a finite group and an integer let where $\Hom(\mathbb Z^r,G)$ is the set of pairwise commuting -tuples in .…
Higher Commutativity in Finite Groups: Exact Asymptotics and Finite Spectrum
Vadim E. Levit, Robert Shwartz
For a finite group G, we study the higher commuting probabilities, namely the probabilities that r randomly chosen elements of G commute pairwise, together with the corresponding n…
Simply-laced mixed-sign Coxeter groups, with an associate graph is a line or a simple cycle
Yiska Efrat Aharoni, Robert Shwartz
In 2011 Eriko Hironaka introduced an interesting generalization of Coxeter groups, motivated by studying certain mapping classes. The generalization is by labeling the vertices of…
Generalization of the basis theorem for the D-type Coxeter groups
Sawsan Khaskeia, Robert Shwartz
The OGS for non-abelian groups is an interesting generalization of the basis of finite abelian groups. The definition of OGS states that every element of a group has a unique prese…
Generalization of the basis theorem for the B-type Coxeter groups
Sawsan Khaskeia, Robert Shwartz
The OGS for non-abelian groups is an interesting generalization of the basis of finite abelian groups. The definition of OGS states that every element of a group has a unique prese…
Zariski pairs of conic-line arrangements of degrees 7 and 8 via fundamental groups
Meirav Amram, Robert Shwartz, Uriel Sinichkin +2
We find a new Zariski pair with non-isomorphic fundamental groups that consists of degree conic-line arrangements. Each arrangement has three conics and two lines. We use the…