Galois module structure of Milnor K-theory in characteristic p
| dc.creator | Bhandari, Ganesh | |
| dc.creator | Lemire, Nicole | |
| dc.creator | Minac, Jan | |
| dc.creator | Swallow, John | |
| dc.date | 2004-05-26 | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T09:46:43Z | |
| dc.date.available | 2026-07-07T09:46:43Z | |
| dc.description | Let E be a cyclic extension of degree p^n of a field F of characteristic p. Using arithmetic invariants of E/F we determine k_mE, the Milnor K-groups K_mE modulo p, as Fp[Gal(E/F)]-modules for all m in N. In particular, we show that each indecomposable summand of k_mE has Fp-dimension a power of p. That all powers p^i, i=0,1,...,n, occur for suitable examples is shown in a subsequent paper [MSS2], where additionally the main result of this paper becomes an essential induction step in the determination of K_mE/p^sK_mE as (Z/p^sZ)[Gal(E/F)]-modules for all m, s in N. | |
| dc.description | v5 (10 pages); revised introduction and shortened paper; incorporated and acknowledged suggestions by readers of earlier versions | |
| dc.identifier | https://arxiv.org/abs/math/0405503 | |
| dc.identifier | http://arxiv.org/abs/math/0405503 | |
| dc.identifier | New York J. Math. 14 (2008), 215--224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163625 | |
| dc.subject | Number Theory | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Representation Theory | |
| dc.subject | 19D45; 12F10 | |
| dc.title | Galois module structure of Milnor K-theory in characteristic p | |
| dc.type | text |