The index of Rubin-Stark units
Saad EL Boukhari, Youness Mazigh
TL;DR
This paper investigates the relationship between class groups and units in number fields, specifically comparing their orders and the structure of units modulo Rubin-Stark units.
Contribution
It introduces a comparison framework for class groups and units, focusing on the Rubin-Stark units and their influence on algebraic number theory structures.
Findings
Established relations between class group orders and units modulo Rubin-Stark units
Provided new insights into the structure of Rubin-Stark units
Enhanced understanding of the algebraic properties of number fields
Abstract
The aim of this paper is to compare the orders of the class groups and the quotients of the -th exterior power of units modulo Rubin-Stark units.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Advanced Algebra and Geometry