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Mathematicians prove finite groups admit 'just finite' presentations

By PulseAugur Editorial · [1 sources] ·

A mathematical conjecture posed in the Kourovka Notebook has been resolved, confirming that every finite group can be represented by a 'just finite' presentation. This means that for any finite group, there exists a set of relations such that removing any single relation from the set results in a presentation for an infinite group. The proof was published on arXiv by Marc Lackenby. AI

RANK_REASON Academic paper published on arXiv detailing a mathematical proof. [lever_c_demoted from research: ic=1 ai=0.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Mathematicians prove finite groups admit 'just finite' presentations

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Academic paper published on arXiv detailing a mathematical proof. [lever_c_demoted from research: ic=1 ai=0.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Marc Lackenby ·

    Every finite group admits a just finite presentation

    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…

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