6 citations · 12 across the 19 of their papers we have counts for
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math.GR2019★ 1 cited
Generalization of the basis theorem for alternating groups
Robert Shwartz, Linoy Fanrazi, Sawsan Khazkeia
There were defined by R. Shwartz OGS for non-abelian groups, as an interesting generalization of the basis of finite abelian groups. The definition of OGS states that that every el…
math.GR2019
Signed Hultman Numbers and Signed Generalized Commuting Probability in Finite Groups
Robert Shwartz, Vadim E. Levit
Let G be a finite group. Let pi be a permutation from S{n}. We study the distribution of probabilities of equality a{1} a{2} ...a{n-1}a{n}=a{pi{1}}^{epsilon{1}} a{pi_{2}}^{epsilon{…
math.CO2019★ 1 cited
OGS canonical forms and exchange laws for the I and for the A-type Coxeter groups
Robert Shwartz
We consider a generalization of the fundamental theorem of finitely generated abelian groups for some non-abelian groups, which is called OGS. First, we consider the dihedral group…