A classification of unitals in nearfield planes with maximal automorphism group

2025/11/04 by Weaver, Randon J., Coulter, Robert S., Hui, Alice M. W.
#51E14 #51E20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.02987

Abstract

We classify the parabolic unitals in regular nearfield planes of odd order q² whose linear collineation group has the maximal size of q³-q. We also establish a number of more general results concerning parabolic unitals in regular nearfield planes under weaker assumptions.

Citations

• Unitals without O'Nan configurations are classical if they admit all translations

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