, Volume 272, Issue 3-4, pp 937-945
Date: 17 Nov 2011

Sylow 2-subgroups of rational solvable groups

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Abstract

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.