The 3- and 5-modular characters of the covering and the automorphism groups of the Higman-Sims group

DOI10.1016/0021-8693(92)90245-HzbMath0783.20011OpenAlexW2083185611MaRDI QIDQ1188135

Robert A. Wilson, Ibrahim A. I. Suleiman

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90245-h

zbMATH Keywords

presentationautomorphism grouptensor productsmatrix representationdecomposition matricesHigman-Sims groupirreducible constituentspermutation representationcomputer calculationsdouble covercoset enumerationmodular charactersMeat-Axe

Mathematics Subject Classification ID

Related Items (3)

A natural invariant algebra for the Harada-Norton group ⋮ Computer construction of matrix representations of the covering group of the Higman-Sims group ⋮ Short proofs of embeddings into exceptional groups of Lie type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local methods in block theory
• Computer condensation of modular representations
• Computer construction of matrix representations of the covering group of the Higman-Sims group
• On subgroups of \(\cdot 0\). I: Lattice stabilizers
• On the simple group of D.G. Higman and C.C. Sims
• A simple group of order 44,352,000
• Computation of characters of the Higman-Sims group and its automorphism group
• The 2- and 3-modular characters of \(J_ 3\), its covering group and automorphism group
• The modular characters of the Higman-Sims simple group
• A Group of Order 8,315,553,613,086,720,000

This page was built for publication: The 3- and 5-modular characters of the covering and the automorphism groups of the Higman-Sims group