A bound on the order of a group having a large character degree.

DOI10.1016/J.JALGEBRA.2011.04.002zbMath1236.20005OpenAlexW2042351603MaRDI QIDQ663609

Sara Jensen, Christina Durfee

Publication date: 25 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.04.002

zbMATH Keywords

finite groupsirreducible characterscharacter degreesorder bounds

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (6)

Groups with a character of large degree relative to a normal subgroup. ⋮ Character table sudokus ⋮ Bounding the order of a group with a large character degree. ⋮ Unnamed Item ⋮ The largest character degrees of the symmetric and alternating groups ⋮ Finite groups with an irreducible character of large degree.

Cites Work

• Unnamed Item
• Bounding the order of a group with a large character degree.
• Characters vanishing on all but two conjugacy classes.
• Groups with few characters of small degrees
• Groups with a character of large degree
• The largest irreducible representations of simple groups

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