Work

A combinatorial formula for the Wedderburn decomposition of rational group algebras of split metacyclic p-groups

Year: 2024

Type: article

Abstract: In this paper, we present a concise combinatorial formula for efficiently determining the Wedderburn decomposition of rational group algebra associated with a split metacyclic [Formula: see text]-group [Formula: see text], where [Formula: see text] is an odd prime. We also provide a combinatorial formula to count irreducible rational representations of [Formula: see text] of distinct degrees.

Source: Journal of Algebra and Its Applications

Authors: Ram Karan Choudhary, Sunil Kumar Prajapati

Institution: Indian Institute of Technology Bhubaneswar

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: University Grants Commission

OpenAlex ID: W4403627025

FWCI: 2.153

Cites: 13

Cited by: 2

Related to: 10