Triple O'Nan conjecture for non-classical unitals
Triple O'Nan conjecture for non-classical unitals
Let be a prime power and let be a non-classical unital in . A Triple O'Nan configuration is a set of six distinct lines pairwise intersecting in exactly seven points of the unital and containing three distinct O'Nan configurations. Triple O'Nan conjecture. Every non-classical unital in contains a Triple O'Nan configuration if . The paper proves the existence of such configurations for Buekenhout-Metz unitals of odd order, while the stated conjecture concerns all non-classical unitals in ; the source gives no resolution status.
Sources & referencesView supporting material
Primary source
Wen-Ai Jackson and Peter Wild, “Triple O'Nan Configurations in Buekenhout-Metz Unitals of Odd Order”, arXiv:2403.05027 (2024).
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