Some simple groups related to \(M_{24}\)

DOI10.1016/0021-8693(77)90368-4zbMath0361.20024OpenAlexW2081387627MaRDI QIDQ1239371

Arthur Reifart

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90368-4

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items (6)

A 3-local characterization of \(M(24)\) ⋮ A 3-local characterization of \(Fi_{24}'\). ⋮ Eine Kennzeichnung der endlichen einfachen Gruppe \(J_4\) von Janko durch eine 2-lokale Untergruppe ⋮ Finite groups ⋮ A 2-local characterization of \(M(24)'\). ⋮ A characterization of Janko's simple group \(J_4\) by centralizers of elements of order 3

Cites Work

• Groups with weakly closed TI-subgroups
• On finite groups having self-centralizing 2-subgroups of small order
• 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
• 2-fusion in finite groups
• A characterization of the Mathieu simple groups. I, II
• The simple groups related to \(M_{24}\)
• Finite groups generated by 3-transpositions. I
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