Sylow 2-subgroups of rational solvable groups
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- Isaacs, I.M. & Navarro, G. Math. Z. (2012) 272: 937. doi:10.1007/s00209-011-0965-9
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A long-standing conjecture proposes that a Sylow 2-subgroup S of a finite rational group must be rational. In this paper we provide a counterexample to this conjecture, but we show that if G is solvable and S has nilpotence class 2, then S actually is rational.