Normal complements of nilpotent self-normalizing subgroups.
Roger W. Carter (1962)
Mathematische Zeitschrift
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Normal complements of nilpotent self-normalizing subgroups.
On finite groups with p-nilpotent subgroups.
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Nilpotent self-normalizing subgroups of soluble groups.
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Derek S. Robinson (1965)
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Nilpotent Groups of Hirsch Length Six.
D. Segal, F.J. Grunewald, L.S. Sterling (1982)
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Joins of Subnormal Subgroups are Serial.
Kenneth K. Hickin, Richard E. Phillips (1974)
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Subgroups of finite index in nilpotent groups.
D. Segal, F.J. Grunewald, G.C. Smith (1988)
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Groups with the Minimal Condition on Non-“Nilpotent-by-Finite” Subgroups
Artemovych, O. (2002)
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We characterize the groups which do not have non-trivial perfect sections and such that any strictly descending chain of non-“nilpotent-by-finite” subgroups is finite.
The Lower Central Series of a Join of Subnormal Subgroups.
J.C. Lennox, D. Segal, S. Stonehewer (1977)
Mathematische Zeitschrift
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Non-nilpotent subgroups of locally graded groups
Mohammad Zarrin (2015)
Colloquium Mathematicae
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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.