Sunil Kumar Prajapati

collaborators

4 papers

math.RT2024

A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras of Split Metacyclic $p$ -groups

Ram Karan Choudhary, Sunil Kumar Prajapati

In this article, we present a concise combinatorial formula for efficiently determining the Wedderburn decomposition of rational group algebra associated with a split metacyclic $p…

math.RT2023

Rational Representations and Rational Group Algebra of VZ p-groups

Ram Karan Choudhary, Sunil Kumar Prajapati

In this article, we study rational matrix representations of VZ $p$ -groups ( $p$ is any prime). Utilizing our findings on VZ $p$ -groups, we explicitly obtain all inequivalent irredu…

math.GR2023

Comment on: The groups of order $p^{6}$ ( $p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

Over the years various errors have been identified in the 1980 paper of James on the groups of order $p^{6}$ , where $p$ is an odd prime. Here we summarise them.

math.GR2023

Minimal Faithful Quasi-Permutation Representation Degree of p-Groups with Cyclic Center

Sunil Kumar Prajapati, Ayush Udeep

For a finite group G, we denote by $μ (G)$ , and c(G), the minimal degree of faithful permutation representation of G, and the minimal degree of faithful representation of G by quasi…

A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras of Split Metacyclic p-groups

Rational Representations and Rational Group Algebra of VZ p-groups

Comment on: The groups of order p6 (p an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637

Minimal Faithful Quasi-Permutation Representation Degree of p-Groups with Cyclic Center

A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras of Split Metacyclic $p$ -groups

Comment on: The groups of order $p^{6}$ ( $p$ an odd prime) By Rodney James, Math. Comput. 34 (1980), 613-637