Hopfian and co-Hopfian groups
1997 ◽
Vol 56
(1)
◽
pp. 17-24
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Keyword(s):
The main results proved in this note are the following:(i) Any finitely generated group can be expressed as a quotient of a finitely presented, centreless group which is simultaneously Hopfian and co-Hopfian.(ii) There is no functorial imbedding of groups (respectively finitely generated groups) into Hopfian groups.(iii) We prove a result which implies in particular that if the double orientable cover N of a closed non-orientable aspherical manifold M has a co-Hopfian fundamental group then π1(M) itself is co-Hopfian.
1992 ◽
Vol 45
(3)
◽
pp. 513-520
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2017 ◽
2015 ◽
Vol 26
(01)
◽
pp. 1550010
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Keyword(s):
1998 ◽
Vol 08
(01)
◽
pp. 23-34
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