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19.43 (2018)

Open

Suppose that $\varphi$ is an automorphism of a finite soluble group $G$. Is the Fitting height of $G$ bounded in terms of $|\varphi|$ and $|C_G(\varphi)|$?

Contributor: E. I. Khukhro

Progress

*Yes, it is (E. Khukhro, to appear in Bull. London Math. Soc., 2025, http://arxiv.org/abs/2505.20999).

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