A note on groups with separable finitely generated subgroups
1987 ◽
Vol 36
(1)
◽
pp. 153-160
◽
Keyword(s):
An example is given of an infinite cyclic extension of a free group of finite rank in which not every finitely generated subgroup is finitely separable. This answers negatively the question of Peter Scott as to whether in all finitely generated 3-manifold groups the finitely generated subgroups are finitely separable. In the positive direction it is shown that in knot groups and one-relator groups with centre, the finitely generated normal subgroups are finitely separable.
1971 ◽
Vol 5
(1)
◽
pp. 87-94
◽
Keyword(s):
2007 ◽
Vol 17
(08)
◽
pp. 1611-1634
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Keyword(s):
2008 ◽
Vol 18
(02)
◽
pp. 375-405
◽
1992 ◽
Vol 45
(3)
◽
pp. 513-520
◽
2011 ◽
Vol 53
(3)
◽
pp. 637-656
◽
Keyword(s):
2007 ◽
Vol 142
(2)
◽
pp. 239-248
◽
Keyword(s):
1976 ◽
Vol 19
(3)
◽
pp. 363-364
◽
Keyword(s):
1986 ◽
Vol 29
(2)
◽
pp. 204-207
◽
Keyword(s):