Burdges–Nesin conjecture on splitting ranked Frobenius groups

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Let C<GC<G be a ranked Frobenius group, where a Frobenius group has a proper subgroup CC that is its Frobenius complement. Burdges–Nesin conjecture. The group GG is split: there is a definable subgroup UU such that

G=U⋊C.G=U\rtimes C.

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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