Some problems about products of conjugacy classes in finite groups

DOI10.22108/ijgt.2019.111448.1480zbMath1443.20053OpenAlexW2935449671MaRDI QIDQ5124344

Carmen Melchor, María José Felipe, Antonio Beltrán Felip

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/c4f32baeaffa46879d0f083c037c76d8

zbMATH Keywords

conjugacy classescharacterssolvabilityproducts of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

On products of conjugacy classes in general linear groups ⋮ Alternating groups as products of cycle classes ⋮ Elementary covering numbers in odd-dimensional unitary groups

Uses Software

• GAP

Cites Work

• Unnamed Item
• Multiplying a conjugacy class by its inverse in a finite group
• Indices of elements and normal structure of finite groups.
• Products of conjugacy classes in finite and algebraic simple groups.
• Products of conjugacy classes in groups
• Squares of real conjugacy classes in finite groups
• Central elements in core-free groups
• Squaring a conjugacy class and cosets of normal subgroups
• Products of conjugacy classes in simple groups
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• New Progress in Products of Conjugacy Classes in Finite Groups

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