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A classification of unitals in nearfield planes with maximal automorphism group

Combinatorics 2026-01-06 v2

Abstract

We classify the parabolic unitals in regular nearfield planes of odd order q2q^2 whose linear collineation group has the maximal size of q3qq^3-q. We also establish a number of more general results concerning parabolic unitals in regular nearfield planes under weaker assumptions.

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Cite

@article{arxiv.2511.02987,
  title  = {A classification of unitals in nearfield planes with maximal automorphism group},
  author = {Randon J. Weaver and Robert S. Coulter and Alice M. W. Hui},
  journal= {arXiv preprint arXiv:2511.02987},
  year   = {2026}
}

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16 pages