Recognition of \(\mathrm{PSL}(2, p^2)\) by order and some properties on character degrees

DOI10.1007/s41980-019-00228-0OpenAlexW2940100462MaRDI QIDQ2332357

Zohreh Sayanjali, Zeinab Akhlaghi, Behrooz Khosravi

Publication date: 4 November 2019

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00228-0

zbMATH Keywords

recognitionprojective special linear groupcharacter degreeorder of a finite group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

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• Huppert's conjecture for alternating groups
• Groups whose prime graphs have no triangles.
• Degree graphs of simple groups.
• Character theory of finite groups
• On Huppert's conjecture for \(^3D_4(q)\), \(q\geq 3\).
• Recognition of \(L_2(q)\) by its group order and largest irreducible character degree.
• Character degrees of extensions of PSL2(q) and SL2(q)
• ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS
• Recognition of the simple groups $PSL_2(q)$ by character degree graph and order
• A new characterization for the simple group PSL(2, p 2) by order and some character degrees
• Endliche Gruppen I

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