Nilpotent group - Open Access .click

Journal d'Analyse Mathematique, 2016
Let (X,Γ) be a topological system, where Γ is a nilpotent group generated by T1,...,Td such that for each T ∈ Γ, T ≠ eΓ, (X,T) is weakly mixing and minimal.
Wen Huang, S. Shao, X. Ye
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NILPOTENCY IN UNCOUNTABLE GROUPS

Journal of the Australian Mathematical Society, 2016
The main purpose of this paper is to investigate the behaviour of uncountable groups of cardinality $\aleph$ in which all proper subgroups of cardinality $\aleph$ are nilpotent. It is proved that such a group $G$ is nilpotent, provided that $G$ has no infinite simple homomorphic images and either $\aleph$ has cofinality strictly larger than $\aleph _{0}
De Giovanni, Francesco, Trombetti, Marco
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Automorphism Groups of Nilpotent Groups

Bulletin of the London Mathematical Society, 1989
Let ${\mathfrak X}$ denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in ${\mathfrak X}$, let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a ${\mathbb{Z}}$-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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Groups elementarily equivalent to a free 2-nilpotent group of finite rank

, 2009
We give a characterization of groups elementarily equivalent to a free 2-nilpotent group of finite rank.
A. Myasnikov, M. Sohrabi
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mathematics
nilpotent groups
fos: mathematics

group theory math.gr
mathematics - group theory
finite nilpotent groups, \ p\ -groups

group rings
computer science
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