A characterization of the Higman-Sims simple group

DOI10.1016/0021-8693(69)90114-8zbMath0184.04602OpenAlexW2025528216MaRDI QIDQ5920899

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Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0021-8693(69)90114-8

zbMATH Keywords

group theory

Related Items (15)

Characterizations of linear groups ⋮ The subgroup structure of the Higman-Sims simple group ⋮ Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd ⋮ Finite groups in which the generalized fitting group of the centraliser of some involution is symplectic but not extraspecial ⋮ On the Higman-Sims simple group of order 44,352,000 ⋮ A characterization of the .2 Conway simple group ⋮ Über einfache endliche gruppen mit sylow-2-gruppen der ordnung höchstens 2¹⁰ ⋮ A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups ⋮ Über Gruppen mit 2-Sylow-Durchschnitten vom Rang \(\leq 3\). II ⋮ On a result of M. aschbacher ⋮ Another Existence and Uniqueness Proof for the Higman–Sims Simple Group ⋮ Unnamed Item ⋮ A characterization of the Higman-Sims simple group ⋮ The radical 2-subgroups of some sporadic simple groups ⋮ A 2-local characterization of the Higman-Sims group

Cites Work

• Unnamed Item
• On finite groups with dihedral Sylow 2-subgroups
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• Central elements in core-free groups
• Some Sylow subgroups of order 32 and a characterization of \(U(3,3)\)
• A simple group of order 44,352,000
• Nonsolvable finite groups all of whose local subgroups are solvable
• On finite groups whose 2-Sylow subgroups have cyclic subgroups of index 2
• Zur Erweiterungstheorie der endlichen Gruppen.

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