Nilpotent groups of class two that can appear as central quotient groups
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Hermann Heineken (1990)
Rendiconti del Seminario Matematico della Università di Padova
Cochran, Tim D. (2004)
Algebraic & Geometric Topology
Mohammad Zarrin (2015)
Colloquium Mathematicae
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.
Martin Kneser (1979)
Journal für die reine und angewandte Mathematik
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