On the maximal size of independent generating sets of \(\text{PSL}_2(q)\)

DOI10.1016/S0021-8693(02)00648-8zbMath1023.20014MaRDI QIDQ1858297

Julius Whiston, Jan Saxl

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

projective special linear groupsindependent generating sets

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (14)

The largest size of a minimal generating set of a finite group. ⋮ Minimal generating sets of maximal size in finite monolithic groups. ⋮ FINITE GROUPS WITH INDEPENDENT GENERATING SETS OF ONLY TWO SIZES ⋮ A generalization of the Burnside basis theorem. ⋮ The maximal size of a minimal generating set ⋮ Finite groups satisfying the independence property ⋮ Unnamed Item ⋮ Connectivity of the product replacement algorithm graph of PSL(2, q) ⋮ Growth in SL2 over finite fields ⋮ C-groups of \(\mathrm{PSL}(2,q)\) and \(\mathrm{PGL}(2,q)\). ⋮ Finite groups of uniform logarithmic diameter. ⋮ Maximal subgroups of finite soluble groups in general position ⋮ Bounding the maximal size of independent generating sets of finite groups ⋮ On the minimal dimension of a finite simple group

Cites Work

• Maximal independent generating sets of the symmetric group
• Independent generating sets and geometries for symmetric groups
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