On almost finitely generated nilpotent groups

A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p. The fgp nilpotent groups form a (generalized) Serre class; the fg-like nilpotent groups do not. However, for abelia...

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Bibliographic Details
Main Authors: Peter Hilton, Robert Militello
Format: Article
Language:English
Published: Hindawi Limited 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171296000749