A remark on the structure of the Auslander-Reiten quiver of orders, blocks with cyclic defect two and the Dynkin diagram \({\mathbb{E}}_ 6\) (Q1061220)
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scientific article; zbMATH DE number 3908669
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on the structure of the Auslander-Reiten quiver of orders, blocks with cyclic defect two and the Dynkin diagram \({\mathbb{E}}_ 6\) |
scientific article; zbMATH DE number 3908669 |
Statements
A remark on the structure of the Auslander-Reiten quiver of orders, blocks with cyclic defect two and the Dynkin diagram \({\mathbb{E}}_ 6\) (English)
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1985
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Previously [Math. Z. 179, 407-429 (1982; Zbl 0494.20005)] the author determined up to stable equivalence the Auslander-Reiten quiver of a block of cyclic defect \(p^ 2\) for RG, where G is a finite group and R is an unramified extension of the p-adic integers. In that work, he was unable to eliminate the possibility that the tree class might be \(E_ 6\), when \(p=3\). Here, that possibility is eliminated.
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stable equivalence
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Auslander-Reiten quiver
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block of cyclic defect
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p- adic integers
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