Classification of minimal irreducible solvable subgroups of the group \(\text{GL}(3,R_p)\) (Q2759406)
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scientific article; zbMATH DE number 1681806
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of minimal irreducible solvable subgroups of the group \(\text{GL}(3,R_p)\) |
scientific article; zbMATH DE number 1681806 |
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12 December 2001
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minimal irreducible solvable subgroups
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\(p\)-adic numbers
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Sylow subgroups
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Classification of minimal irreducible solvable subgroups of the group \(\text{GL}(3,R_p)\) (English)
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This article deals with the classification up to conjugation of all minimal irreducible solvable subgroups of the group \(\text{GL}(3,R_p)\), where \(R_p\) is the ring of integers of a finite extension \(F_p\) of the field of rational \(p\)-adic numbers \(\mathbb{Q}_p\). The results are similar to the author's classification of the minimal nilpotent subgroups [ibid. 1998, No. 3, 107-112 (1998; Zbl 0974.20034)].
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