Minimal generating sets of maximal size in finite monolithic groups.

DOI10.1007/s00013-013-0583-3zbMath1294.20043OpenAlexW1978021886MaRDI QIDQ387610

Andrea Lucchini

Publication date: 23 December 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-013-0583-3

zbMATH Keywords

generating setsnumbers of generatorsfinite monolithic groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05)

Related Items (6)

Independent sets of generators of prime power order ⋮ FINITE GROUPS WITH INDEPENDENT GENERATING SETS OF ONLY TWO SIZES ⋮ Large minimal invariable generating sets in the finite symmetric groups ⋮ Maximal subgroups of finite soluble groups in general position ⋮ Bounding the maximal size of independent generating sets of finite groups ⋮ Minimal invariable generating sets

Cites Work

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• Walks on generating sets of groups
• Generating wreath products
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• Crowns and factorization of the probabilistic zeta function of a finite group.
• Maximal independent generating sets of the symmetric group
• Generators and minimal normal subgroups
• Independent generating sets and geometries for symmetric groups
• On the maximal size of independent generating sets of \(\text{PSL}_2(q)\)
• Classes of Finite Groups

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