On the cyclotomic Dedekind embedding and the cyclic Wedderburn embedding
| dc.creator | Weber, Harald | |
| dc.creator | Kuenzer, Matthias | |
| dc.date | 2001-03-20 | |
| dc.date | 2004-06-25 | |
| dc.date.accessioned | 2026-07-07T04:40:42Z | |
| dc.date.available | 2026-07-07T04:40:42Z | |
| dc.description | Let n >= 1 and let p be a prime. Let t = 1 - zeta_{p^n}. Expand an integer j in [0,p^n-1], coprime to p, p-adically as j = sum_{s >= 0} a_s p^s. Denote the tensor product over Z_(p) by o . Then the #([0,j] - (p))th Z_(p)[t]-linear elementary divisor of the cyclotomic Dedekind embedding Z_(p)[t] o Z_(p)[t] --> prod_{i in (Z/p^n)^*} Z_(p)[t] has valuation -1 + sum_{s >= 0} (a_s (s+1) - a_{s+1} (s+2)) p^s at t. There is a similar result for the related cyclic Wedderburn embedding. | |
| dc.description | minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0103125 | |
| dc.identifier | http://arxiv.org/abs/math/0103125 | |
| dc.identifier | Alg. Rep. Th. 7, p. 211-259, 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61112 | |
| dc.subject | Number Theory | |
| dc.subject | 11R18 | |
| dc.title | On the cyclotomic Dedekind embedding and the cyclic Wedderburn embedding | |
| dc.type | text |