A characterization of elementary abelian 2-groups
Marius T\u{a}rn\u{a}uceanu
TL;DR
This paper characterizes elementary abelian 2-groups by examining their maximal sum-free subsets, providing a new perspective on their algebraic structure.
Contribution
It introduces a novel characterization of elementary abelian 2-groups based on properties of their maximal sum-free subsets.
Findings
Elementary abelian 2-groups can be characterized by their maximal sum-free subsets.
The structure of these subsets reveals key properties of the groups.
This characterization offers a new approach to understanding these groups.
Abstract
In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Advanced Topology and Set Theory · graph theory and CDMA systems