3 papers
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…
math.RT2025
Quaternionic MUBs in H^2 and their reflection symmetries
Zachary Buckley, Shayne Waldron
We consider the primitive quaternionic reflection groups of type P for H^2 that are obtained from Blichfeldt's collineation groups for C^4.These are seen to be intimately related t…
math.GT2024
The geometry of the six quaternionic equiangular lines in
Shayne Waldron
We give a simple presentation of the six quaternionic equiangular lines in as an orbit of the primitive quaternionic reflection group of order 720 (which is isomorph…