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OVERGROUPS OF PRIMITIVE GROUPS
Published online by Cambridge University Press: 01 August 2009
Abstract
We give a qualitative description of the set 𝒪G(H) of overgroups in G of primitive subgroups H of finite alternating and symmetric groups G, and particularly of the maximal overgroups. We then show that certain weak restrictions on the lattice 𝒪G(H) impose strong restrictions on H and its overgroup lattice.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2009
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