Deloro–Wiscons conjecture on ranked quasi-Frobenius groups of odd type
Deloro–Wiscons conjecture on ranked quasi-Frobenius groups of odd type
Let and be ranked connected groups such that , , and for every . Suppose that is a ranked quasi-Frobenius group of odd type, meaning that it contains involutions and is . Deloro–Wiscons conjecture.
- If , then for an algebraically closed field of characteristic other than .
- If , then is split and solvable.
This conjecture proposes a classification of ranked quasi-Frobenius groups of odd type, distinguishing the degree-two case from the Frobenius case. The supplied source does not state whether it has been resolved.
Sources & referencesView supporting material
Primary source
Samuel Zamour, “Ranked definably linear quasi-Frobenius groups”, arXiv:2403.04375 (2025).
Additional references
2 papers in this index state this conjecture (2022–2024). The statement above is taken from the most recent of them; the others are arXiv:2204.02652.
Progress summary
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