每个有限群都存在一个恰好有限的表示 / Every finite group admits a just finite presentation
1️⃣ 一句话总结
本文证明了一个长期悬而未决的猜想：对于任何有限群，我们总能找到一组生成元和关系式，使得删除其中任意一个关系都会导致该群变成无限群。
arXiv 提交日期: 2026-05-11
Abstract - Every finite group admits a just finite presentation
A finite presentation < X | R > of a finite group is called `just finite' if removing any relation from R results in a presentation for an infinite group. It has been an open question (Kourovka Notebook, Problem 21.10) whether every finite group admits such a presentation. We resolve this conjecture in the affirmative.
顶级标签:
theory
源自 arXiv: 2605.10402