Simple exceptional groups of Lie type are determined by their character degrees.

DOI10.1007/s00605-011-0301-9zbMath1255.20006arXiv1102.4427OpenAlexW2124745898WikidataQ115385606 ScholiaQ115385606MaRDI QIDQ431170

Hung P. Tong-Viet

Publication date: 26 June 2012

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

Full work available at URL: https://arxiv.org/abs/1102.4427

zbMATH Keywords

irreducible complex characterscharacter degreesisomorphism problemsimple exceptional groups of Lie type

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (11)

A new characterization of L2(p3) ⋮ Quasisimple classical groups and their complex group algebras. ⋮ Complex group algebras of almost simple unitary groups ⋮ 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 ⋮ Complex group algebras of almost simple groups with socle PSL_n(q) ⋮ Characterizing finite quasisimple groups by their complex group algebras. ⋮ A new characterization of \(L_2(p^2)\) ⋮ 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

Uses Software

• GAP

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