Burdges–Nesin conjecture on splitting ranked Frobenius groups
Let be a ranked Frobenius group, where a Frobenius group has a proper subgroup that is its Frobenius complement. Burdges–Nesin conjecture. The group is split: there is a definable subgroup such that
This conjecture guides the study of ranked Frobenius groups; the supplied text gives no resolution or further conditions under which the splitting is known.
References
Primary source
Samuel Zamour, “Quasi groupes de Frobenius dimensionnels”, arXiv:2204.02652 (2022).
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