Orbit invariants and an application to the Baby Monster.

DOI10.1016/j.jalgebra.2011.05.033zbMath1245.20015OpenAlexW2004175737MaRDI QIDQ661870

E. A. O'Brien, Robert A. Wilson, Max Neunhöffer, Felix Noeske

Publication date: 11 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.05.033

zbMATH Keywords

sporadic simple groupsprimitive permutation groupsBaby Monsterbase sizesbases of minimal sizenon-standard actionsorbit invariants

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Primitive groups (20B15)

Related Items

On soluble subgroups of sporadic groups, Base sizes of primitive groups of diagonal type, Base sizes for \(\mathcal S\)-actions of finite classical groups., On base sizes for almost simple primitive groups, Simple groups, fixed point ratios and applications, On the Saxl graph of a permutation group, On the uniform domination number of a finite simple group, The classification of almost simple $\tfrac {3}{2}$-transitive groups

Uses Software

• GAP
• ATLAS Group Representations

Cites Work

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• Base sizes for sporadic simple groups.
• Standard generators for sporadic simple groups
• Enumerating big orbits and an application: \(B\) acting on the cosets of \(Fi_{23}\).
• Base sizes for simple groups and a conjecture of Cameron
• Simple groups, permutation groups, and probability
• Random Permutations: Some Group-Theoretic Aspects
• Generating random elements of a finite group
• On base sizes for actions of finite classical groups