有限亚环群的有理群代数的同构问题

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-03-19 DOI:10.1016/j.jpaa.2025.107951

Àngel García-Blázquez, Ángel del Río

引用次数: 0

摘要

证明了如果两个有限亚环群具有同构有理群代数，则它们是同构的。这有助于理解群代数同构问题正负解的分界线在哪里。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The isomorphism problem for rational group algebras of finite metacyclic groups

We prove that if two finite metacyclic groups have isomorphic rational group algebras, then they are isomorphic. This contributes to understand where the line separating positive and negative solutions to the Isomorphism Problem for group algebras lies.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.