Normal complements of nilpotent self-normalizing subgroups.
Roger W. Carter (1962)
Mathematische Zeitschrift
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Displaying similar documents to “Nilpotent Residuals of Subnormal Subgroups.”
Normal complements of nilpotent self-normalizing subgroups.
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Non-nilpotent subgroups of locally graded 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.