On almost finitely generated nilpotent groups
1996 ◽
Vol 19
(3)
◽
pp. 539-544
◽
Keyword(s):
A nilpotent groupGis fgp ifGp, is finitely generated (fg) as ap-local group for all primesp; it is fg-like if there exists a nilpotent fg groupHsuch thatGp≃Hpfor all primesp. 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.
2014 ◽
Vol 51
(4)
◽
pp. 547-555
◽
1995 ◽
Vol 117
(3)
◽
pp. 431-438
◽
1979 ◽
Vol 31
(2)
◽
pp. 427-435
◽
2010 ◽
Vol 20
(05)
◽
pp. 661-669
◽
Keyword(s):
2018 ◽
Vol 2018
(738)
◽
pp. 281-298
◽
2000 ◽
Vol 20
(3)
◽
pp. 809-820
◽
Keyword(s):
1956 ◽
Vol 52
(1)
◽
pp. 5-11
◽
Keyword(s):