Finite Just Non-Dedekind Groups
V.K. Jain, R.P. Shukla
TL;DR
This paper classifies finite groups that are just non-Dedekind, meaning they are not Dedekind themselves but all their proper homomorphic images are Dedekind groups.
Contribution
It provides a complete classification of finite just non-Dedekind groups, a previously uncharacterized class of groups.
Findings
Finite JND-groups are fully classified.
Characterization of proper homomorphic images as Dedekind groups.
Identification of structural properties unique to finite JND-groups.
Abstract
A group is just non-Dedekind (JND) if it is not a Dedekind group but all of whose proper homomorphic images are Dedekind groups. The aim of the paper is to classify finite JND-groups.
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 · Coding theory and cryptography · Geometric and Algebraic Topology