A rank 3 simple group of order \(2^{14} 3^{3} 5^{3}7.13.29\). I

DOI10.1016/0021-8693(84)90063-2zbMath0527.20012OpenAlexW1997924231WikidataQ56481697 ScholiaQ56481697MaRDI QIDQ595778

Arunas Rudvalis

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90063-2

zbMATH Keywords

conjugacy classesmaximal subgroupsfaithful irreducible characterscovering groupcharacter tablesporadic simple groupRudvalis groupRee groupgroup of Lie type of characteristic 2point stabilizersimple rank three permutation groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Finite simple groups and their classification (20D05) Projective representations and multipliers (20C25) Characterization theorems for permutation groups (20B10)

Related Items (3)

A rank 3 simple group G of order \(2^{14} 3^{3} 5^{3}7.13.29\). II: Characters of G and G* ⋮ The classification of finite simple groups I. Simple groups and local analysis ⋮ Embeddings of \(U_ 3(8)\), \(Sz(8)\) and the Rudvalis group in algebraic groups of type \(E_ 7\)

Cites Work

• Construction of the Rudvalis group of order 145,926,144,000
• Finite permutation groups of rank 3
• Schur Multipliers of Finite Simple Groups of Lie Type
• Endliche Gruppen I
• Unnamed Item

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