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it's probably connected with (sub)normal series, check also stability group please...
did anyone who wrote this article seriously read "Martyn R. Dixon (1994). Sylow Theory, Formations, and Fitting Classes in Locally Finite Groups" ?
if not , just delete it from the article, as it makes no sense to put stuff that you haven't read or used —Preceding unsigned comment added by 188.26.49.57 (talk) 18:38, 15 April 2010 (UTC)