Huppert's conjecture and almost simple groups

DOI10.4171/RSMUP/103OpenAlexW4311069412WikidataQ122981672 ScholiaQ122981672MaRDI QIDQ2697597

Ashraf Daneshkhah

Publication date: 12 April 2023

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rsmup/103

zbMATH Keywords

character degreesalmost simple groupsHuppert's conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Related Items (2)

On groups with the same character degrees as almost simple groups with socle small Ree groups ⋮ Groups with the same character degrees as almost simple Suzuki groups

Uses Software

• GAP

Cites Work

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• Huppert's conjecture for alternating groups
• On Huppert's conjecture for the Monster and Baby Monster.
• Rational matrix groups of a special type
• Extending the Steinberg representation
• Character theory of finite groups
• Some simple groups which are determined by the set of their character degrees. I
• On groups with the same character degrees as almost simple groups with socle Mathieu groups
• Nonsolvable groups with few character degrees.
• Character degrees of extensions of PSL2(q) and SL2(q)
• ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS
• PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES
• Character degree graphs that are complete graphs

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