Co-degrees of irreducible characters in finite groups.
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Publication:2370256
DOI10.1016/j.jalgebra.2006.11.001zbMath1127.20009OpenAlexW2045905928MaRDI QIDQ2370256
Guohua Qian, Yan Ming Wang, Hua Quan Wei
Publication date: 22 June 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.11.001
Ordinary representations and characters (20C15) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)
Related Items (51)
A dual version of Huppert's \(\rho\)-\(\sigma\) conjecture for character codegrees ⋮ Finite groups admitting at most two irreducible characters having equal co-degrees ⋮ Finite groups in which all nonlinear irreducible characters have the same codegree ⋮ Groups with some cube-free irreducible character co-degrees ⋮ Codegrees and nilpotence class of \(p\)-groups. ⋮ Finite groups with coprime character degrees and codegrees ⋮ Brauer characters and normal Sylow \(p\)-subgroups ⋮ \(p\)-parts of co-degrees of irreducible characters ⋮ Solvable groups whose monomial, monolithic characters have prime power codegrees ⋮ \(\mathscr{P}\)-characters and the structure of finite solvable groups ⋮ On codegrees and solvable groups ⋮ On the characterization of some non-abelian simple groups with few codegrees ⋮ Huppert's conjecture for character codegrees ⋮ The Fitting subgroup, p‐length, derived length and character table ⋮ Equivalent version of Huppert’s conjecture for codegrees of K3-groups ⋮ RECOGNISING REE GROUPS USING THE CODEGREE SET ⋮ Character Codegrees of Maximal Class -groups ⋮ The square-free hypothesis on co-degrees of irreducible characters ⋮ Results related to Huppert's $\rho$-$\sigma$ conjecture ⋮ A characterization of the simple Ree groups \(^2 F_4( q^2)\) by their character codegrees ⋮ On the multiplicities of the character codegrees of finite groups ⋮ On the characterization of some non-abelian simple groups using codegree set ⋮ Element orders and codegrees of characters in non-solvable groups ⋮ Multiplicities of character codegrees of finite groups ⋮ On the average codegree of a finite group ⋮ ON THE CHARACTERISATION OF SPORADIC SIMPLE GROUPS BY CODEGREES ⋮ The character co-degree sets and solvability ⋮ The prime graphs of groups with arithmetically small composition factors ⋮ Finite groups in which distinct nonlinear irreducible characters have distinct codegrees ⋮ A note on element orders and character codegrees. ⋮ Normal \(p\)-complements and monomial characters ⋮ -DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS ⋮ Finite groups whose codegrees are almost prime ⋮ On \({p} \)-parts of character codegrees ⋮ The one-prime hypothesis on the co-degrees of irreducible characters ⋮ The analog of Huppert's conjecture on character codegrees ⋮ Nonsolvable groups with four character codegrees ⋮ A character theoretic criterion for a \(p\)-closed group. ⋮ Groups with few codegrees of irreducible characters ⋮ Finite Groups Whose Character Graphs Associated with Codegrees Have No Triangles ⋮ ON ANALOGUES OF HUPPERT’S CONJECTURE ⋮ AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES ⋮ On the codegrees of finite groups ⋮ Finite groups with special codegrees ⋮ Co-degree graphs and order elements ⋮ Element orders and character codegrees ⋮ Nonsolvable groups with five character codegrees ⋮ Huppert's analogue conjecture for \({\mathrm{PSL}}(3,q)\) and \({\mathrm{PSU}}(3,q)\) ⋮ Groups in which the co-degrees of the irreducible characters are distinct ⋮ ON A QUESTION OF MORETÓ ⋮ NONDIVISIBILITY AMONG IRREDUCIBLE CHARACTER CO-DEGREES
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