Work

Every finite group admits a just finite presentation

Year: 2026
Type: preprint
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) whether every finite group admits such a presentation. We resolve this conjecture in the affirmative.
Language: English
Open Access status: green
OpenAlex ID: W7160936845
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