Base sizes for \(\mathcal S\)-actions of finite classical groups.

DOI10.1007/s11856-013-0059-yzbMath1321.20002OpenAlexW2073789068MaRDI QIDQ2017138

Timothy C. Burness, Jan Saxl, Robert M. Guralnick

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-013-0059-y

zbMATH Keywords

finite classical groupsprobabilitiesrandom subsetsbase sizespoint stabilizersfinite almost simple primitive permutation groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Primitive groups (20B15) Probabilistic methods in group theory (20P05)

Related Items

Regular orbits of symmetric and alternating groups, Bases of twisted wreath products, Base sizes for sporadic simple groups., Topological generation of exceptional algebraic groups, On the Burness-Giudici conjecture, Regular orbits of sporadic simple groups, On base sizes for algebraic groups, Base sizes for \(\mathcal S\)-actions of finite classical groups., Extremely primitive classical groups., On base sizes for almost simple primitive groups, On the Saxl graph of a permutation group, On the minimal dimension of a finite simple group, Regular orbits of quasisimple linear groups. II, Regular orbits of quasisimple linear groups. I, A generalization of Sims' conjecture for finite primitive groups and two point stabilizers in primitive groups, The classification of almost simple $\tfrac {3}{2}$-transitive groups, On the Saxl graphs of primitive groups with soluble stabilisers

Uses Software

• GAP
• Magma
• GAP Character Table Library
• CTblLib
• ATLAS Group Representations

Cites Work

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