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arXiv · 2607.10090

Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic

Gerald Höhn
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Abstract

We answer the automorphism question raised by Naskr\k{e}cki and Pokora for their $(24_4, 32_3)$-configuration on the Schur quartic. The stabilizer of either $24$-line half is isomorphic to $W(D_4)\rtimes C_3$, where $C_3$ acts by even triality; the full projective automorphism group has order $1152$. The $D_4$ model also gives an intrinsic coloring and shortens the incidence check.

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Gerald Höhn. 2026-07-11. Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic. https://arxiv.org/abs/2607.10090

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