Hilbert 90 for biquadratic extensions

Details Hilbert 90 for biquadratic extensions Hilbert 90 for biquadratic extensions

2005-10-07

arxiv.org/abs/math/0510154v3

Amer. Math. Monthly 114 (2007), no. 7, 577--587

Mathematics

Number Theory

v2 (15 pages); followed Monthly style sheet and added additional exposition

Scientific paper

Hilbert's Theorem 90 is a classical result in the theory of cyclic extensions. The quadratic case of Hilbert 90, however, generalizes in noncyclic directions as well. Informed by a poem of Richard Wilbur, the article explores several generalizations, discerning connections among multiplicative groups of fields, values of binary quadratic forms, a bit of module theory over group rings, and even Galois cohomology.

Affiliated with

Also associated with

No associations

Rating

Hilbert 90 for biquadratic extensions 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 Hilbert 90 for biquadratic extensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hilbert 90 for biquadratic extensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-561450