The largest size of a minimal generating set of a finite group.
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Publication:359620
DOI10.1007/s00013-013-0527-yzbMath1311.20035OpenAlexW2063110199MaRDI QIDQ359620
Publication date: 12 August 2013
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-013-0527-y
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05)
Related Items (16)
Independent sets of generators of prime power order ⋮ Generating sets of finite groups ⋮ Minimal generating sets of maximal size in finite monolithic groups. ⋮ On some sets of generators of finite groups. ⋮ FINITE GROUPS WITH INDEPENDENT GENERATING SETS OF ONLY TWO SIZES ⋮ Computing generating sets of minimal size in finite algebras ⋮ Large minimal invariable generating sets in the finite symmetric groups ⋮ The independence graph of a finite group ⋮ Unnamed Item ⋮ An algorithm for finding minimal generating sets of finite groups ⋮ Maximal subgroups of finite soluble groups in general position ⋮ Bounding the maximal size of independent generating sets of finite groups ⋮ Maximal intersections in finite groups ⋮ Minimal invariable generating sets ⋮ ON SETS OF PP-GENERATORS OF FINITE GROUPS ⋮ The virtually generating graph of a profinite group
Cites Work
- Die Eulersche Funktion endlicher auflösbarer Gruppen
- 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 \(\text{PSL}_2(q)\)
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