On a homotopy relation between the 2-local geometry and the Bouc complex for the sporadic group Co3
John Maginnis, Silvia Onofrei
TL;DR
This paper investigates the homotopy relationship between the 2-local geometry and Bouc complex for Co3, and explores the projectivity of the associated Lefschetz module, advancing understanding of sporadic group structures.
Contribution
It establishes a homotopy relation between the 2-local geometry and Bouc complex for Co3 and analyzes the relative projectivity of the Lefschetz module.
Findings
Confirmed a homotopy relation between the 2-local geometry and Bouc complex for Co3
Provided results on the relative projectivity of the Lefschetz module
Enhanced understanding of the topological and algebraic structure of Co3
Abstract
We study the homotopy relation between the standard 2-local geometry and the Bouc complex for the sporadic group Co3. We also give a result concerning the relative projectivity of the reduced Lefschetz module associated to the aformentioned 2-local geometry.
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
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology