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- W1644861567 abstract "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." @default.
- W1644861567 created "2016-06-24" @default.
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- W1644861567 date "2002-01-01" @default.
- W1644861567 modified "2023-09-24" @default.
- W1644861567 title "Relationships between conjectures on the structure of pro-𝑝 Galois groups unramified outside 𝑝" @default.
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- W1644861567 doi "https://doi.org/10.1090/pspum/070/1935409" @default.
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