Computation of Galois groups associated to the 2-class towers of some quadratic fields

Details Computation of Galois groups associated to the 2-class towers of some quadratic fields Computation of Galois groups associated to the 2-class towers of some quadratic fields

2001-10-24

arxiv.org/abs/math/0110343v1

Mathematics

Number Theory

Scientific paper

The $p$-group generation algorithm from computational group theory is used to obtain information about large quotients of the pro-2 group $G = \text{Gal} (k^{nr,2}/k)$ for $k = \mathbb{Q}(\sqrt{d})$ with $d = -445, -1015, -1595, -2379$. In each case we are able to narrow the identity of $G$ down to one of a finite number of explicitly given finite groups. From this follow several results regarding the corresponding 2-class tower. This is a revised version of ANT-0302.

Affiliated with

Also associated with

No associations

Rating

Computation of Galois groups associated to the 2-class towers of some quadratic fields 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 Computation of Galois groups associated to the 2-class towers of some quadratic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computation of Galois groups associated to the 2-class towers of some quadratic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-651189