Bounding Fitting Heights of Two Classes of Character Degree Graphs

DOI10.1142/S1005386714000315zbMath1300.20014MaRDI QIDQ5411708

Xianxiu Zhang, Guangxiang Zhang

Publication date: 25 April 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

finite solvable groupsFitting heightscharacter degreesFitting groupscharacter degree graphs

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• A conjecture about character degrees of solvable groups
• Fitting heights and the character degree graph
• SOLVABLE GROUPS WITH CHARACTER DEGREE GRAPHS HAVING 5 VERTICES AND DIAMETER 3
• Bounding Fitting heights of character degree graphs

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