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A Characteristic Subgroup of π-Stable Groups
Published online by Cambridge University Press: 20 November 2018
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All groups in this paper are assumed to be finite.
Let G be a group with op(G) ≠ 1 which is p-constrained and p-stable, p odd. If P is an Sp-subgroup of G, then by Glaubermaris Theorem, [3, 8.2.11],
G = Op′(G)NG(ZJ(P)).
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- Copyright © Canadian Mathematical Society 1974
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