The subgroup structure of the Higman-Sims simple group

DOI10.1090/S0002-9904-1971-12743-XzbMath0226.20012OpenAlexW1971864279WikidataQ56018637 ScholiaQ56018637MaRDI QIDQ5632760

Spyros S. Magliveras

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1971-12743-x

Mathematics Subject Classification ID

Simple groups (20E32) Finite simple groups and their classification (20D05)

Related Items (26)

Rational rigidity and the sporadic groups ⋮ Some subgroups of the Baby Monster ⋮ \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) ⋮ The subgroup structure of the Higman-Sims simple group ⋮ On the rank 5 polytopes of the Higman-Sims simple group ⋮ On classifying finite edge colored graphs with two transitive automorphism groups. ⋮ Finite groups of rank 3. II ⋮ Maximal subgroups of sporadic groups ⋮ The classification of doubly transitive affine designs ⋮ On the codes related to the Higman-Sims graph ⋮ On the uniqueness of the Harada-Norton group ⋮ Characters of the covering group of the Higman-Sims group ⋮ geometry ⋮ Über Gruppen mit 2-Sylow-Durchschnitten vom Rang \(\leq 3\). II ⋮ The maximal subgroups of Conway's group. 2 ⋮ On fixed point sets and Lefschetz modules for sporadic simple groups. ⋮ Hadamard matrices with doubly transitive automorphism groups ⋮ Unnamed Item ⋮ Some applications of the first cohomology group ⋮ Vector stabilizers and subgroups of Leech lattice groups ⋮ The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group ⋮ On transitive extensions of the Higman-Sims group ⋮ Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices ⋮ The 2-Local Ranks of Some Sporadic Groups ⋮ Minimal parabolic geometries for the sporadic groups ⋮ The radical 2-subgroups of some sporadic simple groups

Cites Work

• On the isomorphism of two simple groups of order 44,352,000
• A combinatorial configuration associated with the Higman-Sims simple group
• Primitive rank 3 groups with a prime subdegree
• On the simple group of D.G. Higman and C.C. Sims
• A simple group of order 44,352,000
• The subgroup structure of the Higman-Sims simple group
• A characterization of the Higman-Sims simple group

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