On almost finitely generated nilpotent groups.
Hilton, Peter, Militello, Robert (1996)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On a theorem of Schur.”
On almost finitely generated nilpotent groups.
Some remarks on almost finitely generated nilpotent groups.
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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...
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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.
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