C. Anabanti

most citedGroups whose locally maximal product-free sets are complete

3 citations · 4 across the 5 of their papers we have counts for

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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…