Recognition of \(\text{PSL}(2,p)\) by order and some information on its character degrees where \(p\) is a prime

DOI10.1007/s00605-013-0582-2zbMath1304.20042OpenAlexW1963543618MaRDI QIDQ466837

Behnam Khosravi, Behrooz Khosravi, Bahman Khosravi

Publication date: 31 October 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0582-2

zbMATH Keywords

ordersfinite groupsrecognitionprojective special linear groupslarge character degreessets of irreducible character degrees

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (13)

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. ⋮ Recognition of the simple group \(\mathrm {PSL}(2, p)\) by one character degree and order ⋮ Recognition of \(L_2(q)\) by its group order and largest irreducible character degree. ⋮ Recognition of the simple groups $PSL_2(q)$ by character degree graph and order ⋮ A CHARACTERIZATION OF PSL(4,p) BY SOME CHARACTER DEGREE ⋮ Unnamed Item ⋮ Mathieu groups and its degree prime-power graphs ⋮ Some Extensions of PSL(2,p²) are Uniquely Determined by Their Complex Group Algebras ⋮ A new characterization for the simple group PSL(2, p 2) by order and some character degrees

Cites Work

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• Character theory of finite groups
• Some simple groups which are determined by the set of their character degrees. I
• 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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