A pr 2 02 2 BLOCK DESIGNS WITH gcd ( r , λ ) = 1 ADMITTING FLAG-TRANSITIVE AUTOMORPHISM GROUPS

SEYED HASSAN ALAVI,MOHSEN BAYAT,MAURO BILIOTTI,ASHRAF DANESHKHAH,ELIANA FRANCOT,HAIYAN GUAN,ALESSANDRO MONTINARO,FATEMEH MOUSELI,PIERLUIGI RIZZO,DELU TIAN,YAJIE WANG,XIAOQIN ZHAN,YONGLI ZHANG,SHENGLIN ZHOU,YAN ZHU

semanticscholar（2022）

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摘要

In this paper, we present a classification of 2-designs with gcd(r, λ) = 1 admitting flag-transitive automorphism groups. If G is a flag-transitive automorphism group of a non-trivial 2-design D with gcd(r, λ) = 1, then either (D, G) is one of the known examples described in this paper, or D has q = p points with p prime and G is a subgroup of AΓL1(q).

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