Seminilpotent groups
Soluble products of nilpotent groups
Some remarks on almost finitely generated nilpotent groups.
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.
Subgroups of finite index in nilpotent groups.
Supplemented nilpotent groups
Symmetric words in nilpotent groups of class ≤ 3
Systèmes sous-elliptiques