Hopficity and Co-Hopficity in Soluble Groups
We show that a soluble group satisfying the minimal condition for its normal subgroups is co-hopfian and that a torsion-free finitely generated soluble group of finite rank is hopfian. The latter property is a consequence of a stronger result: in a minimax soluble group, the kernel of an endomorphis...
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| Date: | 2004 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2004
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164828 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Hopficity and Co-Hopficity in Soluble Groups / G. Endimioni // Український математичний журнал. — 2004. — Т. 56, № 10. — С. 1335–1341. — Бібліогр.: 4 назв. — англ. |