On Thompson's simple group

DOI10.1016/0021-8693(77)90377-5zbMath0361.20022OpenAlexW2060387933MaRDI QIDQ1239370

David Parrott

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)90377-5

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items (13)

The triviality of the multiplier of Thompson's group \(F_ 3\) ⋮ On the order of a group of even order. ⋮ Characterizations of the Fischer Groups. I, II, III ⋮ Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II ⋮ On a certain class of 2-local subgroups in finite simple groups ⋮ Finite groups with few conjugacy classes of subgroups ⋮ Finite groups ⋮ The schur multiplier ofF₃Is trivial ⋮ Thompson's sporadic group uniquely determined by the centralizer of a 2-central involution. ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Large extraspecial subgroups of widths 4 and 6 ⋮ Minimal permutation representation of Thompson's simple group ⋮ Minimal parabolic geometries for the sporadic groups

Cites Work

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• Beziehungen zwischen den Fixpunktzahlen von Automorphismengrupppen einer endlichen Gruppe
• On finite groups with dihedral Sylow 2-subgroups
• Central elements in core-free groups
• A characterization of a simple group \(G_2(3)\).
• Evidence for a new finite simple group
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Endliche Gruppen I

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