Finite simple groups with no elements of order six

DOI10.1017/S0004972700010443zbMath0366.20007MaRDI QIDQ4141970

L. M. Gordon

Publication date: 1977

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05)

Related Items (7)

Finite groups whose prime graphs do not contain triangles. II ⋮ On locally finite \(\mathsf{Cpp}\)-groups ⋮ A criterion for nonsolvability of a finite group and recognition of direct squares of simple groups ⋮ Finite groups without elements of order six ⋮ Finite groups ⋮ The recognition of finite simple groups with no elements of order $10$ by their element orders ⋮ The characterization of finite simple groups with no elements of order six by their element orders

Cites Work

• Nonsolvable finite groups with solvable 2-local subgroups
• A characterization of the Rudvalis simple group of order \(2^{14} \cdot 3^3 \cdot 5^3 \cdot 7 \cdot 13 \cdot 29\) by the centralizers of noncentral involutions
• The characterization of finite groups with abelian Sylow 2-subgroups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• Centralizers of involutions in balanced groups
• Finite Groups with Sylow 2-Subgroups of Class Two. I
• Finite Groups with Sylow 2-Subgroups of Class Two. II
• The Multiplicators of Certain Simple Groups
• Finite Groups the Centralizers of whose involutions have Normal 2-Complements
• Endliche Gruppen I
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• On Simple Groups of Order Prime to 3
• Groups Having Strongly Self-Centralizing 3-Centralizers

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