Products of abelian hopfian groups
1968 ◽
Vol 8
(2)
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pp. 322-326
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Let ℜk be the variety of all nilpotent groups of class at most k. The purpose of this note is to prove the following Theorem 1. Letbe a variety of groups containing ℜ2, let A and B be torsion-free abelian hopfian groups and let P be the free-product2 of A and B. If P is residually torsion-free nilpotent, then P is hopfian.
1992 ◽
Vol 35
(3)
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pp. 390-399
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Keyword(s):
1995 ◽
Vol 117
(3)
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pp. 431-438
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1989 ◽
Vol 46
(3)
◽
pp. 415-422
1976 ◽
Vol 4
(6)
◽
pp. 533-560
◽
2019 ◽
pp. 123-133
1955 ◽
Vol 7
◽
pp. 169-187
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Keyword(s):
2018 ◽
Vol 2018
(738)
◽
pp. 281-298
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