Unitary Units of The Group Algebra ${\mathbb{F}}_{2^k}Q_{8}$
Leo Creedon, Joe Gildea

TL;DR
This paper characterizes the structure of the unitary units within the group algebra over a finite field, revealing it as a Hamiltonian group, which advances understanding of algebraic structures in finite fields.
Contribution
It provides a detailed description of the unitary unit group of the group algebra ${}_{2^k} Q_{8}$ as a Hamiltonian group, a novel structural insight.
Findings
The unitary unit group is a Hamiltonian group.
Explicit structure of the unitary units in ${}_{2^k} Q_{8}$.
Enhanced understanding of algebraic properties of group algebras over finite fields.
Abstract
The structure of the unitary unit group of the group algebra is described as a Hamiltonian group.
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 · Advanced Algebra and Geometry
