18 citations · 45 across the 11 of their papers we have counts for
18 papers
Prime and N-Prime graphs of solvable uniformly semi-rational groups
Anu Jindal, Sugandha Maheshwary
In this paper, we study the prime graph, also known as Gruenberg-Kegel graph, realizable by finite solvable uniformly semi-rational groups. This is primarily achieved by classifyin…
A Study Of Skew-Polycyclic Codes Over A Non-Chain Ring
Seema Antil, Seema Chahal, Manju Khan +1
For a prime \(p\) and a positive integer \(m\), let \(\mathbb{F}_{p^m}\) be the finite field of cardinality \(p^m\), and let $ R_{u^2,v^2,p^m} =\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+v…
Skew Constacyclic Codes Of Length over $ \frac{\mathbb{F}_{p^m}[u]}{\langle u^k \rangle}
Seema Chahal, Seema Antil, Sugandha Maheshwary +1
Let be the field containing elements where is an odd prime and . In this article, we propose a unified approach to the study of skew…
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…
On metacyclic p-group codes
Seema Chahal, Sugandha Maheshwary
In this article, we study the metacyclic p-group codes arising from finite semisimple group algebras. In [CM25], we studied group codes arising from metacyclic groups with order di…
Cut Groups: The Progress And The Problems
Seema Chahal, Sugandha Maheshwary
This article focuses on the study of cut groups, i.e., the groups which have only trivial central units in their integral group ring. We provide state of art for cut groups. The re…
Extended cut groups
Àngel García-Blàzquez, Gurleen Kaur, Sugandha Maheshwary
A finite group G is said to be a cut group if all central units in the integral group ring ZG are trivial. In this article, we extend the notion of cut groups, by introducing exten…
Gruenberg-Kegel graphs: cut groups, rational groups and the Prime Graph Question
Andreas Bächle, Ann Kiefer, Sugandha Maheshwary +1
The Gruenberg-Kegel graph of a group is the undirected graph whose vertices are those primes which occur as the order of an element of the group, and distinct vertices , are…
The lower central series of the unit group of an integral group ring
Sugandha Maheshwary
The aim of this article is to draw attention towards various natural but unanswered questions related to the lower central series of the unit group of an integral group ring.
Units and Augmentation Powers in Integral Group Rings
Sugandha Maheshwary, Inder Bir S. Passi
The augmentation powers in an integral group ring induce a natural filtration of the unit group of analogous to the filtration of the group given by i…
Abelianization of the unit group of an integral group ring
Andreas Bächle, Sugandha Maheshwary, Leo Margolis
For a finite group and , the group of units of the integral group ring of , we study the implications of the structure of on the abelianization $U/U…
Global and local properties of finite groups with only finitely many central units in their integral group ring
Andreas Bächle, Mauricio Caicedo, Eric Jespers +1
The aim of this article is to explore global and local properties of finite groups whose integral group rings have only trivial central units, so-called cut groups. For such a grou…
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…
Finite semisimple group algebra of a normally monomial group
Shalini Gupta, Sugandha Maheshwary
In this paper, the complete algebraic structure of finite semisimple group algebra of a normally monomial group is described. The main result is illustrated by computing the explic…
Integral group rings with all central units trivial: solvable groups
Sugandha Maheshwary
The object of this paper is to examine finite solvable groups whose integral group rings have only trivial central units.
Integral group rings with all central units trivial
Gurmeet K. Bakshi, Sugandha Maheshwary, Inder Bir S. Passi
The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are c…
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…