7 citations · 12 across the 8 of their papers we have counts for
10 papers · 1 filter
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…
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…
A computational approach to Brauer Witt theorem using Shoda pair theory
Gurmeet K. Bakshi, Jyoti
A classical theorem due to Brauer and Witt implies that every simple component of the rational group algebra QG of a finite group G is Brauer equivalent to a cyclotomic algebra con…
Central units of integral group rings of monomial groups
Gurmeet K. Bakshi, Gurleen Kaur
In this paper, it is proved that the group generated by Bass units contains a subgroup of finite index in the group of central units of the…
Connecting monomiality questions with the structure of rational group algebras
Gurmeet K. Bakshi, Gurleen Kaur
In recent times, there has been a lot of active research on monomial groups in two different directions. While group theorists are interested in the study of their normal subgroups…
Semisimple finite group algebra of a generalized strongly monomial group
Gurmeet K. Bakshi, Gurleen Kaur
The complete algebraic structure of semisimple finite group algebra of a generalized strongly monomial group is provided. This work extends the work of Broche and del R{\'ı}o on st…
Group rings and the RS-property
Gurmeet K. Bakshi, Sugandha Maheshwary, Inder Bir S. Passi
The object of this paper is to study (infinite) groups whose integral group rings have only trivial central units. This property is closely related to a property, here called the R…
A generalization of strongly monomial groups
Gurmeet K. Bakshi, Gurleen Kaur
Olivieri, del R{\'ı}o and Sim{ó}n defined strongly monomial groups and a significant result proved by them is the explicit description of the simple components of the rational grou…
Extremely strong Shoda pairs with \texttt{GAP}
Gurmeet K. Bakshi, Sugandha Maheshwary
We provide algorithms to compute a complete irredundant set of extremely strong Shoda pairs of a finite group and the set of the primitive central idempotents of the rational g…
On the index of a free abelian subgroup in the group of central units of an integral group ring
Gurmeet K. Bakshi, Sugandha Maheshwary
Let denote the group of central units in the integral group ring of a finite group . A bound on the index of the subgro…