A new characterization for the simple group PSL(2, p 2) by order and some character degrees

DOI10.1007/s10587-015-0173-6zbMath1363.20031OpenAlexW2078442047MaRDI QIDQ5249661

Behnam Khosravi, Behrooz Khosravi, Bahman Khosravi, Zahra Momen

Publication date: 6 May 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144226

zbMATH Keywords

orderprojective special linear groupcharacter degree

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (7)

A new characterization for some extensions of \(\mathrm{PSL}(2,q)\) for some \(q\) by some character degrees. ⋮ Characterization of \(\mathrm{PGL}(2, p^2)\) by order and some irreducible character degrees ⋮ Recognition of \(M \times M\) by its complex group algebra where \(M\) is a simple \(K_3\)-group ⋮ Recognition of PSL(2,p) ×PSL(2,p) by its complex group algebra ⋮ Recognition of the simple group \(\mathrm{PSL}(2,p^2)\) by character degree graph and order. ⋮ A CHARACTERIZATION OF PSL(4,p) BY SOME CHARACTER DEGREE ⋮ Recognition of \(\mathrm{PSL}(2, p^2)\) by order and some properties on character degrees

Cites Work

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• Symmetric groups are determined by their character degrees.
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• Character theory of finite groups
• Some simple groups which are determined by the set of their character degrees. I
• Simple classical groups of Lie type are determined by their character degrees.
• Character degree graphs and normal subgroups
• A New Characterization of SimpleK₃-Groups by Their Orders and Large Degrees of Their Irreducible Characters
• Nonsolvable groups with no prime dividing three character degrees.
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