S. Hart

activity

20142019

most citedGroups whose locally maximal product-free sets are complete

3 citations · 5 across the 9 of their papers we have counts for

collaborators

Showing 2015 · math.GRShow all

4 papers · 2 filters

math.GR2015

A note on filled groups

Sarah Hart, Chimere Anabanti

Let $G$ be a finite group and $S$ a subset of $G$ . Then $S$ is {\em product-free} if $S \cap S S = \emptyset$ , and $S$ {\em fills} $G$ if $G^{*} \subseteq S \cup S S$ . A product-f…

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…

math.GR2015

Maximal length elements of excess zero in finite Coxeter groups

Sarah B. Hart, Peter J. Rowley

The excess of an element $w$ of a finite Coxeter group $W$ is the minimal value of $l (x) + l (y) - l (w)$ , where $x$ , $y$ are elements of $W$ such that $x^{2} = y^{2} = 1$ and $w = x y$ .…