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Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree

Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree

Abstract In this paper, we study finite semiprimitive permutation groups, that is, groups in which each normal subgroup is transitive or semiregular. These groups have recently been investigated in terms of their abstract structure, in a similar way to the O'Nan–Scott Theorem for primitive groups. Our goal here is to …