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- W2080354657 abstract "We prove that if $G$ is a finite primitive permutation group and if $g$ is an element of $G$, then either $g$ has a cycle of length equal to its order, or for some $r$, $m$ and $k$, the group $G leq mathrm{Sym}(m) textrm{wr} mathrm{Sym}(r)$ preserves the product structure of $r$ direct copies of the natural action of $mathrm{Sym}(m)$ on $k$-sets. This gives an answer to a question of Siemons and Zalesski and a solution to a conjecture of Giudici, Praeger and the second author." @default.
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- W2080354657 date "2014-06-06" @default.
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- W2080354657 title "Finite primitive groups and regular orbits of group elements" @default.
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