On (2,3)-generation of matrix groups over the ring of integers, II
| Autor: | M. A. Vsemirnov |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | St. Petersburg Mathematical Journal. 32:865-884 |
| ISSN: | 1547-7371 1061-0022 |
| DOI: | 10.1090/spmj/1674 |
| Popis: | Final steps are done in proving that the groups SL ( n , Z ) \operatorname {SL}(n,\mathbb {Z}) , GL ( n , Z ) \operatorname {GL}(n,\mathbb {Z}) and PGL ( n , Z ) \operatorname {PGL}(n,\mathbb {Z}) are ( 2 , 3 ) (2,3) -generated if and only if n ≥ 5 n\ge 5 , and PSL ( n , Z ) \operatorname {PSL}(n,\mathbb {Z}) is ( 2 , 3 ) (2,3) -generated if and only if n = 2 n=2 or n ≥ 5 n\ge 5 . In particular, the results cover the remaining cases of n = 8 n=8 , …, 12 12 , and 14 14 . |
| Databáze: | OpenAIRE |
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