Computation of characters of the Higman-Sims group and its automorphism group

DOI10.1016/0021-8693(72)90061-0zbMath0226.20009OpenAlexW2139735610MaRDI QIDQ2549024

J. S. Frame

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90061-0

Mathematics Subject Classification ID

Representation theory of groups (20C99)

Related Items (14)

The geometry of double loops ⋮ Reduced fusion systems over 2-groups of small order ⋮ The 3- and 5-modular characters of the covering and the automorphism groups of the Higman-Sims group ⋮ Computation of 2-modular sheaves and representations forL₄(2)A₇, 3S₆, andM₂₄ ⋮ Characters of the covering group of the Higman-Sims group ⋮ Simple groups acting on translation planes ⋮ Finite groups with a standard component isomorphic to \(M_{22}\) ⋮ The non-principal 2-blocks of sporadic simple groups^* ⋮ Schur indexes of sporadic simple groups ⋮ Hadamard matrices with doubly transitive automorphism groups ⋮ Unnamed Item ⋮ Characters of the automorphism group of the group \(GL_ 6(2)\) ⋮ The modular characters of the Higman-Sims simple group ⋮ Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices

Cites Work

• On the simple group of D.G. Higman and C.C. Sims
• A simple group of order 44,352,000
• Some irreducible monomial representations of hyperorthogonal groups
• The degrees of the irreducible components of simply transitive permutation groups
• The classes and representations of the groups of 27 lines and 28 bitangents
• Congruence Relations Between the Traces of Matrix Powers

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