Computer construction of matrix representations of the covering group of the Higman-Sims group

DOI10.1016/0021-8693(92)90244-GzbMath0783.20010MaRDI QIDQ1188134

Robert A. Wilson, Ibrahim A. I. Suleiman

Publication date: 13 August 1992

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

zbMATH Keywords

covering groupHigman-Sims groupmatrix representationsmodular charactersMeat-Axe

Mathematics Subject Classification ID

Representations of sporadic groups (20C34)

Related Items (3)

Construction of the Fourfold Cover of the Mathieu Group M₂₂ ⋮ Matrix generators for the Harada–Norton group ⋮ The 3- and 5-modular characters of the covering and the automorphism groups of the Higman-Sims group

Cites Work

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• A new construction of the O'Nan simple group
• The 3- and 5-modular characters of the covering and the automorphism groups of the Higman-Sims group
• The computer construction of matrix representations of finite groups over finite fields
• A simple group of order 44,352,000
• Evidence for a new finite simple group
• The modular characters of the Higman-Sims simple group
• The Maximal Subgroups of J ₄
• The Maximal Subgroups of the Thompson Group

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