Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements

DOI10.22108/ijgt.2017.21220zbMath1446.20040OpenAlexW2607010392MaRDI QIDQ5124033

Andrea Lucchini

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/6ea04a3abeb349e5a7b2865c67ff7635

zbMATH Keywords

character degreesclass sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05)

Cites Work

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• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• Prime graph components of finite groups
• Generators for finite groups with a unique minimal normal subgroup
• On the probability of generating a minimal d-generated group
• Boundedly generated subgroups of finite groups
• Some Studies on Group Characters

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