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Artin Groups of Euclidean Type
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2011 |
| Abstract | This article resolves several long-standing conjectures about Artin groups of euclidean type. Specifically we prove that every irreducible euclidean Artin group is a torsion-free centerless group with a decidable word problem and a finite-dimensional classifying space. We do this by showing that each of these groups is isomorphic to a subgroup of a group with an infinite-type Garside structure. The Garside groups involved are introduced here for the first time. They are constructed by applying semi-standard procedures to crystallographic groups that contain euclidean Coxeter groups but which need not be generated by the reflections they contain. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://web.math.ucsb.edu/~jon.mccammond/papers/artin-euclid-preview.pdf |
| Alternate Webpage(s) | http://www.math.ucsb.edu/~mccammon/papers/artin-euclid.pdf |
| Alternate Webpage(s) | http://web.math.ucsb.edu/~mccammon/papers/artin-euclid.pdf |
| Alternate Webpage(s) | http://web.math.ucsb.edu/~jon.mccammond/papers/artin-euclid-revised.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Artin billiard Classification Irreducibility Reflection (computer graphics) Semiconductor industry Standard operating procedure Subgroup A Nepoviruses Torsion (gastropod) |
| Content Type | Text |
| Resource Type | Article |
