Finding n such that every transitive permutation group of degree n is multiplicity-free

Mitsugu Hirasaka

Department of Mathematics, Pusan National University, Pusan, Korea

Department of Mathematics, Pusan National University, Pusan, Korea

2009/5/1 Friday 4PM-5PM

This is a joint work with Cai-Heng Li. Let \(\mathcal{MF}\) denote the set of positive integers n such that each transitive action of degree n is multiplicity-free, and \(\mathcal{PQ}\) denote the set of \(n\in \mathbb{N}\) such that n=pq for some primes p, q with \(p

[latex]\{pq\in \mathcal{PQ}\mid (p,q-2)=p, q\mbox{ is a Fermat prime}\}\) and\(\{pq\in \mathcal{PQ}\mid q=2p-1\}\) where its proof owes much to classification of finite simple groups.

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