S. Hart

collaborators

4 papers

math.GR2018

A Note on Commuting Involution Graphs in Affine Coxeter Groups

Sarah Hart, Amal Sbeiti Clarke

Commuting involution graphs have been studied for finite Coxeter groups and for affine groups of classical type. The purpose of this short note is to establish some general results…

math.GR2018

Commuting Involution Graphs in Classical Affine Weyl Groups

Sarah Hart, Amal Sbeiti Clarke

In this paper we investigate commuting involution graphs in classical affine Weyl groups. Let $W$ be a classical Weyl group of rank $n$ , with $W ~$ its corresponding affine We…

math.GR2015

On a conjecture of Street and Whitehead on locally maximal product-free sets

Chimere S. Anabanti, Sarah B. Hart

Let $S$ be a non-empty subset of a group $G$ . We say $S$ is product-free if $S \cap S S = \emptyset$ , and $S$ is locally maximal if whenever $T$ is product-free and $S \subseteq T$ , t…

math.GR2015

Locally Maximal Product-free Sets of Size 3

Chimere Stanley Anabanti, Sarah Hart

Let $G$ be a group, and $S$ a non-empty subset of $G$ . Then $S$ is \emph{product-free} if $ab \in / S$ for all $a, b \in S$ . We say $S$ is \emph{locally maximal product-free} if $S…