Recognition of the simple groups $PSL_2(q)$ by character degree graph and order

DOI10.22108/IJGT.2017.103226.1424zbMath1443.20004OpenAlexW2778428860MaRDI QIDQ5124326

Zeinab Akhlaghi, Behrooz Khosravi, Maryam Khatami

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/84c11b74e00b4df9b189b57b78c97ce8

zbMATH Keywords

characterizationsimple groupcharacter degree graph

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (2)

A new characterization of L2(p3) ⋮ Recognition of \(\mathrm{PSL}(2, p^2)\) by order and some properties on character degrees

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Groups whose prime graphs have no triangles.
• Recognition of \(\text{PSL}(2,p)\) by order and some information on its character degrees where \(p\) is a prime
• Recognition of the simple group \(\mathrm{PSL}(2,p^2)\) by character degree graph and order.
• Degree graphs of simple groups.
• An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
• Character theory of finite groups
• Character degrees of extensions of PSL2(q) and SL2(q)
• Prime divisors of character degrees
• Character degree graphs of automorphism groups of characteristically simple groups
• On the Number of Components of a Graph Related to Character Degrees
• Endliche Gruppen I

This page was built for publication: Recognition of the simple groups $PSL_2(q)$ by character degree graph and order