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- Fitting's_theorem abstract "Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows:If M and N are nilpotent normal subgroups of a group G, then their product MN is also a nilpotent normal subgroup of G; if, moreover, M is nilpotent of class m and N is nilpotent of class n, then MN is nilpotent of class at most m + n.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 (including all finite groups) is nilpotent. However, a subgroup generated by an infinite collection of nilpotent normal subgroups need not be nilpotent.".
- Fitting's_theorem wikiPageID "4081611".
- Fitting's_theorem wikiPageRevisionID "555571940".
- Fitting's_theorem hasPhotoCollection Fitting's_theorem.
- Fitting's_theorem subject Category:Theorems_in_group_theory.
- Fitting's_theorem type Abstraction100002137.
- Fitting's_theorem type Communication100033020.
- Fitting's_theorem type Message106598915.
- Fitting's_theorem type Proposition106750804.
- Fitting's_theorem type Statement106722453.
- Fitting's_theorem type Theorem106752293.
- Fitting's_theorem type TheoremsInAlgebra.
- Fitting's_theorem type TheoremsInGroupTheory.
- Fitting's_theorem comment "Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows:If M and N are nilpotent normal subgroups of a group G, then their product MN is also a nilpotent normal subgroup of G; if, moreover, M is nilpotent of class m and N is nilpotent of class n, then MN is nilpotent of class at most m + n.By induction it follows also that the subgroup generated by a finite collection of nilpotent normal subgroups is nilpotent.".
- Fitting's_theorem label "Fitting's theorem".
- Fitting's_theorem label "Teorema de Fitting".
- Fitting's_theorem label "菲廷定理".
- Fitting's_theorem sameAs Teorema_de_Fitting.
- Fitting's_theorem sameAs m.0bh2kj.
- Fitting's_theorem sameAs Q5455495.
- Fitting's_theorem sameAs Q5455495.
- Fitting's_theorem sameAs Fitting's_theorem.
- Fitting's_theorem wasDerivedFrom Fitting's_theorem?oldid=555571940.
- Fitting's_theorem isPrimaryTopicOf Fitting's_theorem.