C. Anabanti

most citedGroups whose locally maximal product-free sets are complete

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

collaborators

4 papers

math.CO2016★ 1 cited

A characterisation of elementary abelian 3-groups

Chimere Anabanti

Tarnauceanu [Archiv der Mathematik, 102 (1), (2014), 11--14] gave a characterisation of elementary abelian $2$ -groups in terms of their maximal sum-free sets. His theorem states th…

math.CO2016★ 3 cited

Groups whose locally maximal product-free sets are complete

Chimere S. Anabanti, Grahame Erskine, Sarah B. Hart

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

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…