具有同构模群代数的非同构2群

IF 1.2 1区数学 Q1 MATHEMATICS

Journal fur die Reine und Angewandte Mathematik Pub Date : 2021-06-14 DOI:10.1515/crelle-2021-0074

Diego García-Lucas, L. Margolis, Á. del Río

引用次数: 13

摘要

摘要在任意特征为2的域上，给出了具有同构群代数的非同构有限2群，从而解决了模同构问题。

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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Non-isomorphic 2-groups with isomorphic modular group algebras

Abstract We provide non-isomorphic finite 2-groups which have isomorphic group algebras over any field of characteristic 2, thus settling the Modular Isomorphism Problem.

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来源期刊

Journal fur die Reine und Angewandte Mathematik 数学-数学

CiteScore

2.50

自引率

6.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal für die reine und angewandte Mathematik is the oldest mathematics periodical still in existence. Founded in 1826 by August Leopold Crelle and edited by him until his death in 1855, it soon became widely known under the name of Crelle"s Journal. In the almost 180 years of its existence, Crelle"s Journal has developed to an outstanding scholarly periodical with one of the worldwide largest circulations among mathematics journals. It belongs to the very top mathematics periodicals, as listed in ISI"s Journal Citation Report.