Base sizes for \(\mathcal S\)-actions of finite classical groups.
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Publication:2017138
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
finite classical groupsprobabilitiesrandom subsetsbase sizespoint stabilizersfinite almost simple primitive permutation groups
Linear algebraic groups over finite fields (20G40) Primitive groups (20B15) Probabilistic methods in group theory (20P05)
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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
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