On almost finitely generated nilpotent groups

Autor: Peter Hilton, Robert Militello
Jazyk: angličtina
Rok vydání: 1996
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 19, Iss 3, Pp 539-544 (1996)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171296000749
Popis: 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 abelian groups, a subgroup of an fg-like group is fg-like, and an extension of an fg-like group by an fg-like group is fg-like. These properties persist for nilpotent groups with finite commutator subgroup, but fail in general.
Databáze: Directory of Open Access Journals
Externí odkaz: