The radical \(2\)-subgroups of the sporadic simple groups \(J_4\), \(Co_2\) and \(Th\)
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Publication:5925802
DOI10.1006/jabr.2000.8429zbMath0966.20008OpenAlexW2017314730MaRDI QIDQ5925802
Publication date: 17 July 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2000.8429
Simple groups: sporadic groups (20D08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)
Related Items
A collection of subgroups for the generalized Burnside ring ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group J4 ⋮ 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. ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Odd radical subgroups of some sporadic simple groups. ⋮ The radical subgroups of the Fischer simple groups ⋮ The radical 2-subgroups of some sporadic simple groups
Cites Work
- 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
- A local strategy to decide the Alperin and Dade conjectures
- 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 radical subgroups of the Fischer simple groups
- Odd radical subgroups of some sporadic simple groups.
- The Maximal Subgroups of J 4
- The alperin and dade conjectures for the simple mathieu groups
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