D. Levy

activity

20052017

most citedWhy neighbor-joining works

9 citations · 23 across the 9 of their papers we have counts for

collaborators

11 papers

math.GR2017★ 5 cited

Dioid Partitions of Groups

Ishay Haviv, Dan Levy

A partition of a group is a dioid partition if the following three conditions are met: The setwise product of any two parts is a union of parts, there is a part that multiplies as…

math.GR2017★ 2 cited

Set-Direct Factorizations of Groups

Dan Levy, Attila Maróti

We consider factorizations $G = X Y$ where $G$ is a general group, $X$ and $Y$ are normal subsets of $G$ and any $g \in G$ has a unique representation $g = x y$ with $x \in X$ and $y \in Y$ …

math.CO2017

Symmetric Complete Sum-free Sets in Cyclic Groups

Ishay Haviv, Dan Levy

We present constructions of symmetric complete sum-free sets in general finite cyclic groups. It is shown that the relative sizes of the sets are dense in $[0, \frac{1}{3}]$ , answer…

math.GR2015

Primitive permutation groups as products of point stabilizers

Martino Garonzi, Dan Levy, Attila Maróti +1

We prove that there exists a universal constant $c$ such that any finite primitive permutation group of degree $n$ with a non-trivial point stabilizer is a product of no more than…

math.GR2015

Groups equal to a product of three conjugate subgroups

John Cannon, Martino Garonzi, Dan Levy +2

Let $G$ be a finite non-solvable group. We prove that there exists a proper subgroup $A$ of $G$ such that $G$ is the product of three conjugates of $A$ , thus replacing an earlier u…

math.GR2015★ 1 cited

Factorizations of finite groups by conjugate subgroups which are solvable or nilpotent

Martino Garonzi, Dan Levy, Attila Maróti +1

We consider factorizations of a finite group $G$ into conjugate subgroups, $G = A^{x_{1}} \dots A^{x_{k}}$ for $A \leq G$ and $x_{1}, \dots, x_{k} \in G$ , where $A$ is nilpotent or sol…