Free products and residual nilpotency
1969 ◽
Vol 1
(1)
◽
pp. 11-13
◽
Keyword(s):
Let G be the free product of groups Gα, [Gα] the cartesian subgroup of G and k [Gα] the intersection of [G] with the k–th term of the lower central series for G. Then the k[Gα] form a descending chain of subgroups of ] and it is shown that if the intersection of all the subgroups in this chain is trivial then G and hence each Gα, is residually nilpotent. This answers a question of S. Moran.
Keyword(s):
2006 ◽
Vol 81
(2)
◽
pp. 199-208
◽
Keyword(s):
1999 ◽
Vol 42
(3)
◽
pp. 559-574
◽
1993 ◽
Vol 36
(3)
◽
pp. 296-302
◽
1976 ◽
Vol 80
(3)
◽
pp. 451-463
◽
Keyword(s):
1971 ◽
Vol 69
(1)
◽
pp. 13-23
◽
Keyword(s):
1991 ◽
Vol 33
(3)
◽
pp. 373-387
◽
Keyword(s):
1989 ◽
Vol s3-59
(3)
◽
pp. 507-540
◽
1965 ◽
pp. 372-375