On a question of M. Conder (Q5926039)
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scientific article; zbMATH DE number 1574398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a question of M. Conder |
scientific article; zbMATH DE number 1574398 |
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On a question of M. Conder (English)
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2 July 2001
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A group is said to be \((2,3)\)-generated if it can be generated by an involution and an element of order 3. Since the group \(\text{SL}(3,p)\) is \((2,3)\)-generated for any prime \(p\), it is natural to ask whether \(\text{SL}(3,\mathbb{Z})\) is \((2,3)\)-generated. The authors give a negative answer to this question.
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linear groups over the integers
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\((2,3)\)-generated groups
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