# A rotation group whose subspace arrangement is not from a real reflection group

## TL;DR

This paper presents a family of real rotation groups with subspace arrangements that differ from those of any real reflection group, addressing a previously open question.

## Contribution

It introduces a new class of rotation groups with unique subspace arrangements not derived from real reflection groups.

## Key findings

- Subspace arrangements are distinct from all real reflection groups.
- Answers an open question by Martino and Singh.
- Expands understanding of rotation group structures.

## Abstract

We exhibit a family of real rotation groups whose subspace arrangements are not contained in that of any real reflection group, answering a question of Martino and Singh.