A problem about normal subgroups (Q686033)
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scientific article; zbMATH DE number 427665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A problem about normal subgroups |
scientific article; zbMATH DE number 427665 |
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A problem about normal subgroups (English)
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1 November 1993
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The authors prove the following theorem. Suppose \(G\) is a finitely generated group with a proper normal subgroup of finite index. If \(G\) is isomorphic to all of its non-trivial normal subgroups then \(G\) is infinite cyclic. In a particular case this answers a question raised by P. Hall.
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infinite groups
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finitely generated group
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normal subgroup of finite index
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infinite cyclic
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