Fitting's theorem

id: fitting-s-theorem-250-6769777
title: Fitting's theorem
text: Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows: By induction it follows also that the subgroup generated by a finite collection of nilpotent normal subgroups is nilpotent. This can be used to show that the Fitting subgroup of certain types of groups is nilpotent. However, a subgroup generated by an infinite collection of nilpotent normal subgroups need not be nilpotent.
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original url: https://en.wikipedia.org/wiki/Fitting%27s_theorem
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date modified: 2024-01-24T02:34:10Z
main entity: {"identifier":"Q5455495","url":"https://www.wikidata.org/entity/Q5455495"}
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