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- W2062732731 abstract "We conjecture that if G is a finite primitive group and if g is an element of G , then either the element g has a cycle of length equal to its order, or for some r , m and k , the group G ≤ Sym ( m ) wr Sym ( r ) , preserving a product structure of r direct copies of the natural action of Sym ( m ) or Alt ( m ) on k -sets. In this paper we reduce this conjecture to the case that G is an almost simple group with socle a classical group." @default.
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- W2062732731 date "2015-01-01" @default.
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- W2062732731 title "Finite primitive permutation groups and regular cycles of their elements" @default.
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- W2062732731 doi "https://doi.org/10.1016/j.jalgebra.2014.08.015" @default.
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