Misbehaved direct products (Q1857374)
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scientific article; zbMATH DE number 1870161
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Misbehaved direct products |
scientific article; zbMATH DE number 1870161 |
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Misbehaved direct products (English)
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23 September 2003
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The author presents with leisurely discussion 3 deceptively difficult open problems concerning direct products of groups. The first is whether the direct product of a Hopfian group and the infinite cyclic group is necessarily Hopfian. The second is whether a finitely presented group can be a proper direct factor of itself. The third (labelled ``for quick fame'') is more technical and related to the Poincaré conjecture.
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direct products of groups
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Hopfian groups
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finitely presented groups
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Poincaré conjecture
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free products
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