Vanishing of eigenspaces and cyclotomic fields

Details Vanishing of eigenspaces and cyclotomic fields Vanishing of eigenspaces and cyclotomic fields

2004-12-13

arxiv.org/abs/math/0412242v2

IMRN, no. 20, (2005), 1195-1202

Mathematics

Number Theory

6 pages, minor corrections made, to appear in the International Mathematics Research Notices

Scientific paper

We use a result of Thaine to give an alternative proof of the fact that, for
a prime p>3 congruent to 3 modulo 4, the component e_{(p+1)/2} of the p-Sylow
subgroup of the ideal class group of \mathbb Q(\zeta_{p}) is trivial.

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