Complex group algebras of almost simple unitary groups

DOI10.1080/00927872.2019.1710162zbMath1481.20042OpenAlexW3000124718MaRDI QIDQ5107027

Farrokh Shirjian, Farideh Shafiei, Ali Iranmanesh

Publication date: 22 April 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1710162

zbMATH Keywords

character degreescomplex group algebrasalmost simple groupsfinite reductive groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representations of finite groups of Lie type (20C33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasisimple classical groups and their complex group algebras.
• Simple exceptional groups of Lie type are determined by their character degrees.
• Alternating and sporadic simple groups are determined by their character degrees.
• Symmetric groups are determined by their character degrees.
• On finite rational groups and related topics
• Extensions of unipotent characters and the inductive McKay condition.
• The Ore conjecture.
• Subgroups of prime power index in a simple group
• Remarks on symbols, hooks and degrees of unipotent characters
• Simple classical groups of Lie type are determined by their character degrees.
• The blocks of finite general linear and unitary groups
• Characterizing finite quasisimple groups by their complex group algebras.
• Complex group algebras of the double covers of the symmetric and alternating groups.
• Brauer characters with cyclotomic field of values.
• Cross-Characteristic Embeddings of Finite Groups of Lie Type
• PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES
• PRIME POWER DEGREE REPRESENTATIONS OF THE SYMMETRIC AND ALTERNATING GROUPS
• Prime Power Degree Representations of the Double Covers of the Symmetric and Alternating Groups
• Verifying Huppert's Conjecture for PSL₃(q) and PSU₃(q²)
• Character degree graphs that are complete graphs
• The characters of the group of rational points of a reductive group with non-connected centre.
• Complex group algebras of almost simple groups with socle PSL_n(q)
• Minimal characters of the finite classical groups
• The largest irreducible representations of simple groups
• A characterization of PGL (2,pn) by some irreducible complex character degrees
• Characterizing projective general unitary groups ${\rm PGU}_3(q^2)$ by their complex group algebras
• The set of character degrees of a finite group does not determine its solvability
• Prime power degree representations of quasi-simple groups