English(EN) Every finite group admits a just finite presentation

数学家证明有限群承认“恰好有限”的表示

作者 PulseAugur 编辑部 · [1 个来源] · 2026-11-05 05:00

《Kourovka Notebook》中提出的一个数学猜想已被解决，证实每个有限群都可以由一个“恰好有限”的表示来表示。这意味着对于任何有限群，都存在一组关系，从中移除任何一个关系都会导致一个无限群的表示。该证明由Marc Lackenby在arXiv上发表。 AI

排序理由学术论文在arXiv上发表，详细介绍了数学证明。[lever_c_demoted from research: ic=1 ai=0.0]

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arXiv cs.AI TIER_1 English(EN) · Marc Lackenby · 2026-11-05 05:00

每个有限群都承认一个恰当的有限表示

arXiv:2605.10402v2 Announce Type: replace-cross Abstract: 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) whe…