AI 中文总结
研究舒尔四次曲面上(24_4, 32_3)构型的自同构问题，通过特定模型得出24条线一半的稳定子群同构情况及全射影自同构群阶数，还给出内在着色并缩短关联检查。
AI 中文摘要
我们回答了Naskręcki和Pokora提出的关于舒尔四次曲面上(24_4, 32_3)构型的自同构问题。24条线的一半的稳定子群同构于W(D_4)×C_3，其中C_3通过偶三重性作用；全射影自同构群的阶为1152。D_4模型还给出了一种内在着色并缩短了关联检查。
英文摘要
We answer the automorphism question raised by Naskręcki 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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