A full-rank subgroup of Bloch Groups of CM Fields
Wenhuan Huang
TL;DR
This paper presents an algorithm to identify elements that generate a full-rank subgroup of the torsion-free part of the Bloch group in certain CM number fields, and calculates its rank.
Contribution
It generalizes previous results by providing a method to find generators and compute the rank of the Bloch group in CM fields.
Findings
Algorithm for generating full-rank subgroups
Method to compute the rank of the Bloch group
Extension of previous results to broader class of CM fields
Abstract
This article generalizes the result of Burns et al (2022), to find an algorithm to find some elements generating a full-rank subgroup of the torsion-free part of Bloch group of a certain CM number field, and compute the rank of it.
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 · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology