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The smallest group with non-zero presentation rank

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Publication:4239559
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DOI10.1515/jgth.1999.010zbMath0961.20028OpenAlexW2149951711MaRDI QIDQ4239559

Andrea Lucchini, Francesca Dalla Volta

Publication date: 29 May 2001

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.1999.010


zbMATH Keywords

finite groupsrelation modulespresentation rankminimal free presentations


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)


Related Items (9)

Closed normal subgroups of free pro-S-groups of finite rank ⋮ On the probability of generating a monolithic group. ⋮ FINITE GROUPS WITH INDEPENDENT GENERATING SETS OF ONLY TWO SIZES ⋮ The minimum generating set problem ⋮ On profinite groups with positive rank gradient ⋮ Generation gaps and abelianized defects of free products ⋮ On the probability of generating a minimal d-generated group ⋮ Characterization of finitely generated infinitely iterated wreath products ⋮ Coprime invariable generation and minimal-exponent groups.


Uses Software

  • GAP



Cites Work

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