Relationships between conjectures on the structure of pro-p Galois groups unramified outside p
| dc.creator | Sharifi, Romyar T. | |
| dc.date | 2001-04-10 | |
| dc.date | 2001-10-03 | |
| dc.date.accessioned | 2026-07-07T07:52:12Z | |
| dc.date.available | 2026-07-07T07:52:12Z | |
| dc.description | We consider the canonical representation of the absolute Galois group of the rational numbers in the outer automorphism group of the pro-p completion of the fundamental group of the projective line minus 0,1, and infinity. Deligne has conjectured that a certain graded Z_p-Lie algebra arising from this representation becomes a free p-adic Lie algebra on one element in each odd degree starting with 3 when tensored with the Q_p. We construct good choices of these elements and use them to examine the structure of the Z_p-Lie algebra. In particular, we consider how its structure depends upon the regularity of the prime p by examining a consequence of Greenberg's conjecture in multivariable Iwasawa theory. | |
| dc.description | Removes the assumption of Vandiver's conjecture in several of the results. Also includes some minor corrections and additional comments | |
| dc.identifier | https://arxiv.org/abs/math/0104116 | |
| dc.identifier | http://arxiv.org/abs/math/0104116 | |
| dc.identifier | Proc. Sympos. Pure Math. 70 (2002) 275-284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125792 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11R32 (Primary), 11R23,11R29,20Fxx,17B70,14H30,11F80 (Secondary) | |
| dc.title | Relationships between conjectures on the structure of pro-p Galois groups unramified outside p | |
| dc.type | text |