Kummer structures
| dc.creator | Chalcraft, Adam | |
| dc.creator | Fryers, Michael | |
| dc.date | 2008-06-02 | |
| dc.date.accessioned | 2026-07-07T09:42:22Z | |
| dc.date.available | 2026-07-07T09:42:22Z | |
| dc.description | Suppose we take an abelian group G and quotient it by the action of negation. What structure does the quotient K inherit from the group structure of G? We describe this structure (which we call the Kummer of G) in terms of a map from the set of unordered pairs of elements of K to itself. We propose some axioms that hold for such structures, and show that every structure satisfying those axioms either is the Kummer of a unique group, or comes from one other construction, the quotient of a 2-torsion group by an involution. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0806.0409 | |
| dc.identifier | http://arxiv.org/abs/0806.0409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162157 | |
| dc.subject | Group Theory | |
| dc.subject | 20N99 | |
| dc.title | Kummer structures | |
| dc.type | text |