Nilpotent self-normalizing subgroups of soluble groups.
Roger W. Carter (1961)
Mathematische Zeitschrift
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Displaying similar documents to “Nilpotent Subgroups of Finite Soluble Groups.”
Nilpotent self-normalizing subgroups of soluble groups.
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We show that a locally graded group with a finite number m of non-(nilpotent of class at most n) subgroups is (soluble of class at most [log₂n] + m + 3)-by-(finite of order ≤ m!). We also show that the derived length of a soluble group with a finite number m of non-(nilpotent of class at most n) subgroups is at most [log₂ n] + m + 1.
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