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arXiv · 2008.01136

Extension of Carter subgroups in $\pi$-separable groups

M. Arroyo-Jordá·P. Arroyo-Jordá·R. Dark·A. D. Feldman·M. D. Pérez-Ramos
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Abstract

Let $\pi$ be a set of primes. We show that $\pi$-separable groups have a conjugacy class of subgroups which specialize to Carter subgroups, i.e. self-normalizing nilpotent subgroups, or equivalently, nilpotent projectors, when specializing to soluble groups.

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M. Arroyo-Jordá, P. Arroyo-Jordá, R. Dark, A. D. Feldman, M. D. Pérez-Ramos. 2020-08-03. Extension of Carter subgroups in $\pi$-separable groups. https://arxiv.org/abs/2008.01136

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