English

A Note on the Main Conjecture over Q

Number Theory 2018-12-12 v1

Abstract

In this note we show how the main conjecture of the Iwasawa theory over Q has a natural place in the context of the Galois representation of the Galois group Gal(Qˉ/Q)Gal(\bar Q/Q) on the etale pro-p fundamental group of the projective line minus three points. However we still need to assume the Vandiver conjecture to get a proof of the main conjecture in this context.

Keywords

Cite

@article{arxiv.1812.04360,
  title  = {A Note on the Main Conjecture over Q},
  author = {Mahesh Kakde and Zdzislaw Wojtkowiak},
  journal= {arXiv preprint arXiv:1812.04360},
  year   = {2018}
}
R2 v1 2026-06-23T06:38:49.068Z