scientific article; zbMATH DE number 2227207

zbMath1112.20020MaRDI QIDQ5705572

Ali Reza Ashrafi, Wujie Shi

Publication date: 9 November 2005

Full work available at URL: https://eudml.org/doc/34609

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

normal subgroupsunions of conjugacy classes\(n\)-decomposable groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) General structure theorems for groups (20E34)

Related Items (3)

\(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\) ⋮ On 9- and 10-decomposable finite groups. ⋮ On finite \(X\)-decomposable groups for \(X=\{1,2,4\}\).

Uses Software

• GAP

Cites Work

• A characterization of finite simple groups with abelian Sylow \(2\)-subgroups
• A simplicity criterion for finite groups
• On finite groups whose every normal subgroup is a union of the same number of conjugacy classes
• On finite simple groups of order divisible by three primes only
• COUNTING THE ORBITS ON FINITE SIMPLE GROUPS UNDER THE ACTION OF THE AUTOMORPHISM GROUP – SUZUKI GROUPS VS. LINEAR GROUPS
• A Characterization of Suzuki's Simple Groups
• The number of composite numbers in the set of element ordes of a finite group
• Endliche Gruppen I
• The characterization of \(\text{PSL}(2,q)\) by its element orders
• On simple \(K_4\)-groups
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