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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.08459 |
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Table of Contents:
- We construct a primitive permutation action of the Steinberg triality group $^3D_4(2)$ of degree $4064256$ and show that there are distinct points $α,β$ such that there is no derangement $g\in{^3D_4}(2)$ with $α^g=β$. This answers a question by John G. Thompson (Problem 8.75 in the Kourovka Notebook) in the negative.