Unsolvability of the occurrence problem in Artin groups of finite type (Q1078324)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Unsolvability of the occurrence problem in Artin groups of finite type |
scientific article; zbMATH DE number 3959760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unsolvability of the occurrence problem in Artin groups of finite type |
scientific article; zbMATH DE number 3959760 |
Statements
Unsolvability of the occurrence problem in Artin groups of finite type (English)
0 references
1985
0 references
The question of the occurrence problem in Artin groups of finite type is considered. It is shown that for groups \(B_ n\), \(n\geq 4\), \(D_ n\), \(F_ 4\), \(F_ 6\), \(F_ 7\), \(F_ 8\), \(H_ 4\) the occurrence problem is undecidable and it is decidable for \(B_ 2\), \(G_ 2\), \(J_ 2(p)\), where \(p=5\) or \(p\geq 7\). The question remains open for \(A_ 3\), \(B_ 3\), \(H_ 3\).
0 references
occurrence problem
0 references
Artin groups of finite type
0 references
