3 papers
math.RA2026
The structure of and its unit group
Jyoti Garg, Sugandha Maheshwary, Himanshu Setia
This article determines the structure of the group ring , where is a finite group and is the ring of integers modulo , such that is relativ…
math.RA2024
Matrix units in the simple components of rational group algebras
Gurmeet Kaur Bakshi, Jyoti Garg
For the rational group algebra of a finite group , we provide an effective method to compute a complete set of matrix units and, in particular, primitive orthogona…
math.RA2024
Rational group algebras of generalized strongly monomial groups: primitive idempotents and units
Gurmeet K. Bakshi, Jyoti Garg, Gabriela Olteanu
We present a method to explicitly compute a complete set of orthogonal primitive idempotents in a simple component with Schur index 1 of a rational group algebra for…