The classification of almost simple $\tfrac {3}{2}$-transitive groups

DOI10.1090/S0002-9947-2013-05758-3zbMath1281.20002arXiv1103.6069OpenAlexW1999230963WikidataQ56987520 ScholiaQ56987520MaRDI QIDQ2847037

Jan Saxl, John Bamberg, Martin W. Liebeck, Michael Giudici, Cheryl E. Praeger

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.6069

zbMATH Keywords

almost simple groupsfinite transitive permutation groups\(\mathbb QI\)-groups3/2-transitive groups

Mathematics Subject Classification ID

Primitive groups (20B15) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Related Items

A transversal property for permutation groups motivated by partial transformations, The size of a minimal generating set for primitive \(\frac{3}{2} \)-transitive groups, Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs, Closures of finite permutation groups, The classification of sharp permutation groups of type {0,4}, Base sizes for \(\mathcal S\)-actions of finite classical groups., Arithmetic results on orbits of linear groups, Simplicity of augmentation submodules for transformation monoids, The 2-closure of a \(\frac{3}{2}\)-transitive group in polynomial time, The classification of \frac{3}2-transitive permutation groups and \frac{1}2-transitive linear groups, Flag-transitive 2-designs from \(\mathrm{PSL}(2, q)\) with block size 4, A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers, On flag-transitive automorphism groups of 2-designs, On primitive 2-closed permutation groups of rank at most four

Uses Software

• GAP
• Magma

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