The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras
| dc.creator | Herman, Allen | |
| dc.creator | Olteanu, Gabriela | |
| dc.creator | del Rio, Angel | |
| dc.date | 2007-10-04 | |
| dc.date.accessioned | 2026-07-07T08:34:10Z | |
| dc.date.available | 2026-07-07T08:34:10Z | |
| dc.description | Let $K$ be an abelian extension of the rationals. Let $S(K)$ be the Schur group of $K$ and let $CC(K)$ be the subgroup of $S(K)$ generated by classes containing cyclic cyclotomic algebras. We characterize when $CC(K)$ has finite index in $S(K)$ in terms of the relative position of $K$ in the lattice of cyclotomic extensions of the rationals. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0710.1027 | |
| dc.identifier | http://arxiv.org/abs/0710.1027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139340 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16K50; 12G05; 16S35 | |
| dc.title | The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras | |
| dc.type | text |