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Finite locally primitive 2-designs

吴燕妮 Yanni Wu


Time: 16:00-18:00 (GMT+8), Tuesday June 21st, 2022
Location: Tencent Meeting

Abstract: Let \(\mathcal{D}=(\mathcal{P},\mathcal{B})\) be a \(G\)-locally-primitive \(2\)-\((v,k,\lambda)\) design. We say \(G\) is of type \((X,Y)\), or \((G^\mathcal{P},G^\mathcal{B}) = (X,Y)\), if \(G\) acts faithfully and quasi-primitively on \(\mathcal{P}\) of type \(X\) and on \(\mathcal{B}\) of type \(Y\). In this talk, we discuss the possible quasi-primitive types for \(G. \) We show that \((G^\mathcal{P},G^\mathcal{B}) \ne (\mathrm{PA},\mathrm{SD})\) or \((\mathrm{PA},\mathrm{CD})\).

Host: 丁兆宸 Zhaochen Ding