Zobrazeno 1 - 10
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pro vyhledávání: '"BAKSHI, GURMEET"'
Autor:
Bakshi, Gurmeet Kaur, Garg, Jyoti
For the rational group algebra $\mathbb{Q}G$ of a finite group $G$, we provide an effective method to compute a complete set of matrix units and, in particular, primitive orthogonal idempotents in a simple component of $\mathbb{Q}G$, which is realize
Externí odkaz:
http://arxiv.org/abs/2406.10113
Autor:
Bakshi, Gurmeet K., 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 containing Q in its centre. The precise description of this cyclotomic al
Externí odkaz:
http://arxiv.org/abs/2206.11483
Autor:
Bakshi, Gurmeet K., Kaur, Gurleen
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 $\mathcal{Z}(\mathcal{U}(\mathbb{Z}G))$ of the integral group ring $\mathbb{Z}G$ for a subgroup closed monomial group
Externí odkaz:
http://arxiv.org/abs/2109.09984
Autor:
Bakshi, Gurmeet K., Kaur, Gurleen
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 and Hall subgroups, the interest of group ring theorists lie in the s
Externí odkaz:
http://arxiv.org/abs/2010.14203
Autor:
Bakshi, Gurmeet K., Kaur, Gurleen
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{\'{\i}}o on strongly monomial groups. The theory is complimented by an algorithm
Externí odkaz:
http://arxiv.org/abs/1812.07859
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 RS-property (\cite{DMS05}, \cite{RS90}), involving conjugacy in the gro
Externí odkaz:
http://arxiv.org/abs/1805.08965
Autor:
Bakshi, Gurmeet K., Kaur, Gurleen
Olivieri, del R{\'{\i}}o and Sim{\'o}n defined strongly monomial groups and a significant result proved by them is the explicit description of the simple components of the rational group algebra $\mathbb{Q}G$ of a strongly monomial group $G$. In this
Externí odkaz:
http://arxiv.org/abs/1805.00196
Autor:
Bakshi, Gurmeet K., Kaur, Gurleen
Publikováno v:
In Journal of Pure and Applied Algebra May 2022 226(5)
Autor:
Bakshi, Gurmeet K., Kaur, Gurleen
In this paper, a construction of Shoda pairs using character triples is given for a large class of monomial groups including abelian-by-supersolvable and subnormally monomial groups. The computation of primitive central idempotents and the structure
Externí odkaz:
http://arxiv.org/abs/1702.00955