Complex group algebras of almost simple groups with socle PSLn(q)

DOI10.1080/00927872.2017.1324868zbMath1473.20016OpenAlexW2612976689MaRDI QIDQ4643647

Farrokh Shirjian, Ali Iranmanesh

Publication date: 28 May 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1324868

zbMATH Keywords

character degreescomplex group algebrasalmost simple groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items (4)

Complex group algebras of almost simple unitary groups ⋮ Characterization of \(\mathrm{PGL}(2, p^2)\) by order and some irreducible character degrees ⋮ Extending Huppert's conjecture to almost simple groups of Lie type ⋮ Isomorphism problem for almost simple linear groups

Cites Work

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• 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
• Primes dividing the degrees of the real characters.
• Recovering information about a group from its complex group algebra
• Remarks on symbols, hooks and degrees of unipotent characters
• Unipotent elements of finite groups of Lie type and realization fields of their complex representations.
• Simple classical groups of Lie type are determined by their character degrees.
• 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.
• PROJECTIVE SPECIAL LINEAR GROUPS PSL₄(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• 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
• The set of character degrees of a finite group does not determine its solvability
• Some Extensions of PSL(2,p²) are Uniquely Determined by Their Complex Group Algebras
• Prime power degree representations of quasi-simple groups

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