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math.GR2026
The lattice of normal reflection subgroups of an irreducible reflection group
Shayne Waldron
The reflection subgroups of a reflection group have a natural lattice structure given by the reflections that they contain. By considering the conjugation action orbits of the refl…
math.GR2026
The quaternionic systems of imprimitivity for the reflection groups of rank two
Shayne Waldron
Given an explicit presentation of a reflection group of rank two (or any rank two group for that matter), we give a simple procedure for calculating all its systems of imprimitivit…