S. Pradhan

activity

20152021

most citedRational and Quasi-Permutation Representations of Holomorph of Cyclic p-Groups

1 citations · 1 across the 9 of their papers we have counts for

collaborators

10 papers

math.GR2021

On the Vanishing Criterion for the Cohomology Groups of the Automorphism Group of a finite Abelian $p$ -Group

Chudamani Pranesachar Anil Kumar, Soham Swadhin Pradhan

For a partition $λ = (λ_{1}^{ρ_{1}} > λ_{2}^{ρ_{2}} > λ_{3}^{ρ_{3}} > \dots > λ_{k}^{ρ_{k}})$ and its associated finite abelian $p$ -group $\mathcal{A}_{\underlineλ}=\underset{i=1}{\over…

cs.LG2021

Transportation Scenario Planning with Graph Neural Networks

Ana Alice Peregrino, Soham Pradhan, Zhicheng Liu +2

Providing efficient human mobility services and infrastructure is one of the major concerns of most mid-sized to large cities around the world. A proper understanding of the dynami…

math.RT2021

Degrees of Faithful Irreducible Representations of Certain Metabelian Groups and a Question of Sim

Soham Swadhin Pradhan, B. Sury

In this paper, we answer affirmatively a question of H S Sim on representations in characteristic $0$ , for a class of metabelian groups. Moreover, we provide examples to point out…

math.RT2021★ 1 cited

Rational and Quasi-Permutation Representations of Holomorph of Cyclic p-Groups

Soham Swadhin Pradhan, B. Sury

For a finite group $G$ , let $p (G)$ denote the minimal degree of a faithful permutation representation of $G$ . The minimal degree of a faithful representation of $G$ by quasi-permut…

math.RT2020

Schur Index and Extensions of Witt-Berman's Theorems

Ravindra Shripad Kulkarni, Soham Swadhin Pradhan

Let $G$ be a finite group, and $F$ a field of characteristic $0$ or prime to the order of $G$ . In $1952$ , Witt and in $1956$ , Berman independently proved that the number of inequiv…

math.GR2019

On the Endomorphism Semigroups of Extra-special $p$ -groups and Automorphism Orbits

C P Anil Kumar, Soham Swadhin Pradhan

For an odd prime $p$ and a positive integer $n$ , it is well known that there are two types of extra-special $p$ -groups of order $p^{2 n + 1}$ , first one is the Heisenberg group which…

math.RT2018

Representations and primitive central idempotents of a finite solvable group

Ravi S. Kulkarni, Soham Swadhin Pradhan

Let $G$ be a finite solvable group. Then $G$ always has a useful presentation, which we call a "long presentation". Using a "long presentation" of $G$ , we present an inductive meth…

math.RT2018

Representations induced from a normal subgroup of prime index

Soham Swadhin Pradhan

Let $G$ be a finite group, $H$ be a normal subgroup of prime index $p$ . Let $F$ be a field of either characteristic $0$ or prime to $∣ G ∣$ . Let $η$ be an irreducible $F$ -representat…

math.RT2018

Algorithmic construction of representations of finite solvable groups

Soham Swadhin Pradhan

The dominant theme of this thesis is the construction of matrix representations of finite solvable groups using a suitable system of generators. For a finite solvable group $G$ of…

math.RT2015

Primitive Central idempotents and the Wedderburn Decomposition of a Rational Abelian Group Algebra

Ravi S. Kulkarni, Soham S. Pradhan

In this paper we give an explicit description of primitive central idempotents of rational group algebras of finite abelian groups using long presentation, and determine their Wedd…

On the Vanishing Criterion for the Cohomology Groups of the Automorphism Group of a finite Abelian p-Group

Transportation Scenario Planning with Graph Neural Networks

Degrees of Faithful Irreducible Representations of Certain Metabelian Groups and a Question of Sim

Rational and Quasi-Permutation Representations of Holomorph of Cyclic p-Groups

Schur Index and Extensions of Witt-Berman's Theorems

On the Endomorphism Semigroups of Extra-special p-groups and Automorphism Orbits

Representations and primitive central idempotents of a finite solvable group

Representations induced from a normal subgroup of prime index

Algorithmic construction of representations of finite solvable groups

Primitive Central idempotents and the Wedderburn Decomposition of a Rational Abelian Group Algebra

On the Vanishing Criterion for the Cohomology Groups of the Automorphism Group of a finite Abelian $p$ -Group

On the Endomorphism Semigroups of Extra-special $p$ -groups and Automorphism Orbits