A note on Thompson problem

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2023-12-16 DOI:10.1007/s11587-023-00835-4

Yu Li, Wujie Shi

引用次数: 0

Abstract

In this paper, we prove that if two finite groups G and H have isomorphic Burnside rings, then G and H are the same order type groups, and give an example to show that the Burnside rings of the same order type groups are not necessarily isomorphic. This result is related to the Thompson Problem which was raised in 1987.

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关于汤普森问题的说明

在本文中，我们证明了如果两个有限群 G 和 H 的伯内环同构，则 G 和 H 是相同的阶类型群，并举例说明了相同阶类型群的伯内环不一定同构。这一结果与 1987 年提出的汤普森问题有关。

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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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.