Scholarlink

<p>In this article, we present a combinatorial formula for computing the Wedderburn decomposition of the rational group algebra associated with an ordinary metacyclic <i>p</i>-group <i>G</i>, where <i>p</i> is any prime. We also provide a formula for counting irreducible rational representations of <i>G</i> with distinct degrees and derive a method to explicitly construct all inequivalent irreducible rational matrix representations of <i>G</i>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Combinatorial Formula for the Wedderburn Decomposition of Rational Group Algebras and the Rational Representations of Ordinary Metacyclic p-groups

  • 期刊论文

  • 发表日期：

    2026年1月24日

查看全文
  • Ram Karan Choudhary,
  • Sunil Kumar Prajapati

摘要

In this article, we present a combinatorial formula for computing the Wedderburn decomposition of the rational group algebra associated with an ordinary metacyclic p-group G, where p is any prime. We also provide a formula for counting irreducible rational representations of G with distinct degrees and derive a method to explicitly construct all inequivalent irreducible rational matrix representations of G.