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Mathematicians Prove Finite Groups Admit Just Finite Presentations

By PulseAugur Editorial · [1 sources] ·

Researchers have proven that every finite group can be represented with a "just finite" presentation. This means that for any finite group, there exists a set of generators and relations such that removing any single relation from the set will result in a presentation for an infinite group. This resolves a long-standing open question in the field of group theory. AI

RANK_REASON The cluster contains an academic paper detailing a mathematical proof. [lever_c_demoted from research: ic=1 ai=0.1]

Read on Hugging Face Daily Papers →

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

Mathematicians Prove Finite Groups Admit Just Finite Presentations

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The cluster contains an academic paper detailing a mathematical proof. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    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 res…

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