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arXiv · 1410.0420

Permutation Groups and Orbits on Power Sets

Yong Yang
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Abstract

Let $G$ be a permutation group of degree $n$ and let $s(G)$ denote the number of set-orbits of $G$. We determine $\inf(\frac {\log_2 s(G)} n)$ over all groups $G$ that satisfy certain restrictions on composition factors (i.e. $Alt(k), k > 4$ cannot be obtained as a quotient of a subgroup of $G$).

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Yong Yang. 2014-10-02. Permutation Groups and Orbits on Power Sets. https://arxiv.org/abs/1410.0420

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