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Mathieu groups and its degree prime-power graphs (Q5227693)

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scientific article; zbMATH DE number 7089363

Language	Label	Description	Also known as
English	Mathieu groups and its degree prime-power graphs	scientific article; zbMATH DE number 7089363

Statements

scholarly article

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Mathieu groups and its degree prime-power graphs (English)

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Communications in Algebra

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publication date

7 August 2019

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zbMATH Keywords

characterization

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degree prime-power graph

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irreducible character

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Mathieu groups

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00927872.2019.1579342

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Some simple groups which are determined by their character degree graphs

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Huppert's conjecture for \(Fi_{23}\)

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ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS

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Huppert's conjecture for alternating groups

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A characterization of PGL (2,pn) by some irreducible complex character degrees

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

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

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Recognition of \(L_2(q)\) by its group order and largest irreducible character degree.

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Recognition of \(\text{PSL}(2,p)\) by order and some information on its character degrees where \(p\) is a prime

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An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.

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On the Number of Components of a Graph Related to Character Degrees

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The simple Ree groups \(^2F_4(q^2)\) are determined by the set of their character degrees.

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

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On Huppert's conjecture for the Monster and Baby Monster.

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

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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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Degree Graphs of Simple Groups of Exceptional Lie Type

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A New Characterization of Simple<i>K</i><sub>3</sub>-Groups by Their Orders and Large Degrees of Their Irreducible Characters

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A new characterization of Mathieu-groups by the order and one irreducible character degree.

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Identifiers

zbMATH Open document ID

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10.1080/00927872.2019.1579342

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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:5227693

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