The study shows that no 2-design allows for a point-transitive automorphism group, implying a limitation in design symmetry.
Camina and Di Martino proved that any block‐transitive automorphism group of a 2‐ design must be flag‐transitive. However, the question whether a point‐transitive automorphism group can exist for such a design remains unsolved. In the present study, we show that no 2‐ design admits a point‐transitive automorphism group.
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Zhang et al. (2026) studied this question.
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