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Creators/Authors contains: "Gintz, Michael"

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  1. ; ; ; ; (, Publicationes Mathematicae Debrecen)
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  2. ; ; ; ; ; (, Communications in Algebra)
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  3. ; ; ; ; (, Bulletin of the Australian Mathematical Society)
    Abstract If G is permutation group acting on a finite set $$\Omega $$ , then this action induces a natural action of G on the power set $$\mathscr{P}(\Omega )$$ . The number $s(G)$ of orbits in this action is an important parameter that has been used in bounding numbers of conjugacy classes in finite groups. In this context, $$\inf ({\log _2 s(G)}/{\log _2 |G|})$$ plays a role, but the precise value of this constant was unknown. We determine it where G runs over all permutation groups not containing any $${{\textrm {A}}}_l, l> 4$$ , as a composition factor. 
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