Some remarks on almost finitely generated nilpotent groups
Hilton, Peter (State University of New York. Department of Mathematical Sciences)
Militello, Robert (Rhodes College (Memphis, Estats Units d'Amèrica). Department of Mathematics)

Data:	1992
Resum:	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. Then we have proper set-inclusions {fg} C {fg-like} C {fgp}. We examine the extent to which fg-hke 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 is known te form a Serre class in the extended sense).
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Publicat a:	Publicacions matemàtiques, Vol. 36 Núm. 2 (1992) , p. 655-662, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37726
DOI: 10.5565/PUBLMAT_362A92_24

8 p, 197.1 KB

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