Coset intersection graphs for groups
Jack Button, Maurice Chiodo, Mariano Zeron-Medina Laris
TL;DR
This paper explores the intersection properties of left and right cosets of subgroups within a group, providing new insights into their structural relationships and intersection behaviors.
Contribution
It introduces a novel graph-theoretic framework called coset intersection graphs to analyze subgroup coset intersections.
Findings
Characterization of coset intersection patterns
New bounds on intersection sizes
Graph-theoretic criteria for subgroup relations
Abstract
Let H, K be subgroups of G. We investigate the intersection properties of left and right cosets of these subgroups.
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