Author:
Brewster Ben,Ward Michael B.
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.
Publisher
Cambridge University Press (CUP)
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1. Two-transitive actions on conjugacy classes;Bulletin of the Australian Mathematical Society;1999-06