The radical 2-subgroups of some sporadic simple groups

DOI10.1006/jabr.2001.8992zbMath1011.20018OpenAlexW4213265374MaRDI QIDQ1604386

Yoshiara, Satoshi

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8992

zbMATH Keywords

Higman-Sims groupLyons groupO'Nan groupHarada-Norton groupradical 2-subgroups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items

Dade's conjecture for the simple O'Nan group ⋮ THE 2-LOCAL RANKS OF LARGE SPORADIC GROUPS ⋮ The AWC-goodness and essential rank of sporadic simple groups. ⋮ Radical 2-subgroups of the Monster and the Baby Monster. ⋮ Odd radical subgroups of some sporadic simple groups. ⋮ The 2-Local Ranks of Some Sporadic Groups ⋮ The radical subgroups of the Fischer simple groups

Cites Work

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• Maximal subgroups of the Harada-Norton group
• 2-radical subgroups of the Conway simple group \(Co_1\)
• The Alperin and Dade conjectures for the simple Held group
• Verification of Dade's conjecture for Janko group \(J_ 3\)
• Some homotopy equivalences for sporadic geometries
• The \(3\)-radicals of \(Co_1\) and the \(2\)-radicals of \(Rud\)
• The Alperin and Dade conjectures for the simple Conway's third group
• The radical subgroups of the Fischer simple groups
• The subgroup structure and \(\text{mod }2\) cohomology of O'Nan's sporadic simple group
• The subgroup structure of the Lyons group
• Some Evidence for the Existence of a New Simple Group
• THE ALPERIN AND DADE CONJECTURES FOR THE FISCHER SIMPLE GROUP Fi₂₃
• The centric p-radical complex and a related p-local geometry
• The alperin and dade conjectures for the simple mathieu groups
• The subgroup structure of the Higman-Sims simple group
• A characterization of the Higman-Sims simple group
• A characterization of the Higman-Sims simple group
• The radical \(2\)-subgroups of the sporadic simple groups \(J_4\), \(Co_2\) and \(Th\)