On the descending central sequence of absolute Galois groups

Details On the descending central sequence of absolute Galois groups On the descending central sequence of absolute Galois groups

2008-09-12

arxiv.org/abs/0809.2166v3

Mathematics

Number Theory

We implemented the referee's comments. The paper will appear in The American Journal of Mathematics

Scientific paper

Let $p$ be an odd prime number and $F$ a field containing a primitive $p$th root of unity. We prove a new restriction on the group-theoretic structure of the absolute Galois group $G_F$ of $F$. Namely, the third subgroup $G_F^{(3)}$ in the descending $p$-central sequence of $G_F$ is the intersection of all open normal subgroups $N$ such that $G_F/N$ is 1, $\mathbb{Z}/p^2$, or the modular group $M_{p^3}$ of order $p^3$.

Affiliated with

Also associated with

No associations

Rating

On the descending central sequence of absolute Galois groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the descending central sequence of absolute Galois groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the descending central sequence of absolute Galois groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-369062