Symmetric units in integral group rings
V. Bovdi, M. M. Parmenter
TL;DR
This paper investigates the conditions under which the symmetric units in an integral group ring form a multiplicative group, providing necessary and sufficient criteria specifically for periodic groups.
Contribution
It offers a complete characterization of when symmetric units form a group in integral group rings for periodic groups, advancing understanding in algebraic structures.
Findings
Necessary and sufficient conditions for symmetric units to form a group
Characterization specific to periodic groups
Enhanced understanding of algebraic structure of integral group rings
Abstract
In this paper, we study the question of when the symmetric units in an integral group ring ZG form a multiplicative group. When G is periodic, necessary and sufficient conditions are given for this to occur.
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 · Advanced Topics in Algebra · Rings, Modules, and Algebras