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Groups 2-Transitive on a set of their Sylow subgroups
Published online by Cambridge University Press: 17 April 2009
Abstract
We classify, modulo the kernel of the action, finite groups G that act 2-transitively on Sylr(G) for some prime r dividing |G|. We furthermore prove that any finite group that acts 2-transitively on Sylr(G) for each prime r is solvable and of nilpotent length at most 3.
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- Copyright © Australian Mathematical Society 1995
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