Seminilpotent groups
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Soluble products of nilpotent groups
John C. Lennox, Derek J. S. Robinson (1980)
Rendiconti del Seminario Matematico della Università di Padova
Some remarks on almost finitely generated nilpotent groups.
Peter Hilton, Robert Militello (1992)
Publicacions Matemàtiques
We identify two generalizations of the notion of a finitely generated nilpotent. Thus a nilpotent group G is fgp if Gp is fg as p-local group for each p; and G is fg-like if there exists a fg nilpotent group H such that Gp ≅ Hp for all p. The we have proper set-inclusions:{fg} ⊂ {fg-like} ⊂ {fgp}.We examine the extent to which fg-like nilpotent groups satisfy the axioms for a Serre class. We obtain a complete answer only in the case that [G, G] is finite. (The collection of fgp nilpotent groups...
Subcubic growth of the averaged Dehn function for a class 2 nilpotent group.
Roman'kov, V.A. (2005)
Sibirskij Matematicheskij Zhurnal
Subgroups of finite index in nilpotent groups.
D. Segal, F.J. Grunewald, G.C. Smith (1988)
Inventiones mathematicae
Supplemented nilpotent groups
Jutta Hausen (1981)
Rendiconti del Seminario Matematico della Università di Padova
Symmetric words in nilpotent groups of class ≤ 3
Ernest Płonka (1977)
Fundamenta Mathematicae
Systèmes sous-elliptiques
J. Nourrigat (1986/1987)
Séminaire Équations aux dérivées partielles (Polytechnique)
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