On the modular isomorphism problem for groups with center of index at most $p^3$

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-03-30 DOI:10.1007/s00013-024-01977-z

Sofia Brenner, Diego García-Lucas

引用次数: 0

Abstract

Let p be an odd prime number. We show that the modular isomorphism problem has a positive answer for finite p-groups whose center has index $p^3$, which is a strong contrast to the analogous situation for $p = 2$.

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关于指数中心最多为 $$p^3$$ 的群的模态同构问题

让 p 是奇素数。我们证明，对于中心指数为$p^3$的有限 p 群，模态同构问题有一个肯定的答案，这与$p = 2$ 的类似情况形成了强烈对比。

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

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.

On the modular isomorphism problem for groups with center of index at most \(p^3\)

Abstract