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- W4210363761 abstract "Quasi-symmetric designs are the special type of [Formula: see text]-designs with two block intersection numbers [Formula: see text] and [Formula: see text]. In this paper, we study the automorphism groups of quasi-symmetric designs with block intersection numbers [Formula: see text] and [Formula: see text]. We prove that for a quasi-symmetric design [Formula: see text] with [Formula: see text] and [Formula: see text] satisfying that [Formula: see text] does not divide [Formula: see text], if [Formula: see text] is flag-transitive, then [Formula: see text] must be point-primitive. We further obtain that [Formula: see text] is either of affine type or almost simple type by the O’Nan Scott Theorem. Moreover, when the socle of [Formula: see text] is sporadic, [Formula: see text] is a unique [Formula: see text]-[Formula: see text] design and [Formula: see text] or [Formula: see text]." @default.
- W4210363761 created "2022-02-08" @default.
- W4210363761 creator A5035109140 @default.
- W4210363761 creator A5053471355 @default.
- W4210363761 date "2022-02-04" @default.
- W4210363761 modified "2023-09-26" @default.
- W4210363761 title "Flag-transitive quasi-symmetric designs with block intersection numbers 0 and 2" @default.
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- W4210363761 doi "https://doi.org/10.1142/s0219498823500937" @default.
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