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arXiv · 2110.10946

The inductive McKay--Navarro condition for the Suzuki and Ree groups

Birte Johansson
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Abstract

We verify the inductive McKay--Navarro condition for the Suzuki and Ree groups for all primes as well as for $p=3$ and the groups $PSL_3(q)$ with $q \equiv 4,7$ mod $9$, $PSU_3(q) $ with $q \equiv 2,5$ mod $9$, and $G_2(q)$ with $q=2,4,5,7$ mod $9$. On the way, we show that there exists a Galois-equivariant Jordan decomposition for the irreducible characters of the Suzuki and Ree groups.

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Birte Johansson. 2021-10-21. The inductive McKay--Navarro condition for the Suzuki and Ree groups. https://arxiv.org/abs/2110.10946

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