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Extending Huppert's conjecture to almost simple groups of Lie type - MaRDI portal

Extending Huppert's conjecture to almost simple groups of Lie type (Q2305598)

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Language	Label	Description	Also known as
English	Extending Huppert's conjecture to almost simple groups of Lie type	scientific article

Statements

scholarly article

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Extending Huppert's conjecture to almost simple groups of Lie type (English)

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Farrokh Shirjian

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Illinois Journal of Mathematics

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publication date

11 March 2020

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full work available at URL

https://projecteuclid.org/euclid.ijm/1583463697

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MaRDI profile type

MaRDI publication profile

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GROUPS WITH THE SAME CHARACTER DEGREES AS SPORADIC ALMOST SIMPLE GROUPS

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On groups with the same character degrees as almost simple groups with socle Mathieu groups

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Complex group algebras of the double covers of the symmetric and alternating groups.

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Huppert's conjecture for alternating groups

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Character degree graphs that are complete graphs

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The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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Primes dividing the degrees of the real characters.

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Some simple groups which are determined by the set of their character degrees. I

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A reduction theorem for the McKay conjecture.

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Solvable groups whose degree graphs have two connected components

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Prime power degree representations of quasi-simple groups

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An answer to a question of Isaacs on character degree graphs.

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Complex group algebras of finite groups: Brauer's problem 1.

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Finite Groups Whose Character Degree Graphs Are Empty Graphs

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The set of character degrees of a finite group does not determine its solvability

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Recognition of finite quasi-simple groups by the degrees of their irreducible representations

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PROJECTIVE SPECIAL LINEAR GROUPS <font>PSL</font><sub>4</sub>(q) ARE DETERMINED BY THE SET OF THEIR CHARACTER DEGREES

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Extending Huppert's conjecture from non-abelian simple groups to quasi-simple groups

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Complex group algebras of almost simple groups with socle <i>PS</i><i>L</i><sub><i>n</i></sub>(<i>q</i>)

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The Character Tables for SL(3, <i>q</i>), SU(3, <i>q</i><sup>2</sup>), PSL(3, <i>q</i>), PSU(3, <i>q</i><sup>2</sup>)

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The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)

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

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On Huppert's conjecture for \(^3D_4(q)\), \(q\geq 3\).

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On Huppert's conjecture for \(G_2(q)\), \(q\geq 7\).

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Verifying Huppert's Conjecture for PSL<sub>3</sub>(<i>q</i>) and PSU<sub>3</sub>(<i>q</i><sup>2</sup>)

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Verifying Huppert's conjecture for \(^2G_2(q^2)\).

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Verifying Huppert's conjecture for \(\text{PSp}_4(q)\) when \(q>7\).

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Character degrees of extensions of PSL2(q) and SL2(q)

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Identifiers

zbMATH Open document ID

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10.1215/00192082-8165590

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2305598

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