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Conjugacy classes contained in normal subgroups: an overview - MaRDI portal

Conjugacy classes contained in normal subgroups: an overview (Q5124035)

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scientific article; zbMATH DE number 7248703

Language	Label	Description	Also known as
English	Conjugacy classes contained in normal subgroups: an overview	scientific article; zbMATH DE number 7248703

Statements

scholarly article

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Felipe Maria Jose

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Antonio Beltrán Felip

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publication date

17 September 2020

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zbMATH Keywords

conjugacy classes

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normal subgroups

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graphs

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

http://ijgt.ui.ac.ir/article_21216_521a00edf9dcb7b91295b2b081a9a468.pdf

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Conjugacy classes contained in normal subgroups: an overview (English)

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Structure of normal subgroups with three \(G\)-class sizes.

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Normal sections, class sizes and solvability of finite groups.

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Nilpotency of normal subgroups having two 𝐺-class sizes

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A generalisation on the solvability of finite groups with three class sizes for normal subgroups

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Graphs associated to conjugacy classes of normal subgroups in finite groups.

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Landau’s theorem on conjugacy classes for normal subgroups

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NORMAL SUBGROUPS WHOSE CONJUGACY CLASS GRAPH HAS DIAMETER THREE

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Triangles in the graph of conjugacy classes of normal subgroups

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\(p\)-divisibility of conjugacy class sizes and normal \(p\)-complements.

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A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS

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On a Graph Related to Conjugacy Classes of Groups

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THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY

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A Bound on the Number of Conjugacy Classes of a Finite Soluble Group

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THE NUMBER OF CONJUGACY CLASSES OF CERTAIN FINITE GROUPS

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The Diameter of a Conjugacy Class Graph of Finite Groups

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Finite groups whose noncentral class sizes have the same \(p\)-part for some prime \(p\).

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On the Diameter of a Graph Related to Conjugacy Classes of Groups

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Arithmetical conditions on the length of the conjugacy classes of a finite group

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Finite groups with graphs containing no triangles

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On the normal subgroup with exactly two \(G\)-conjugacy class sizes.

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Elements of prime power order and their conjugacy classes in finite groups

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

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Variations of Landau's theorem for \(p\)-regular and \(p\)-singular conjugacy classes.

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A Bound for the Number of Conjugacy Classes in a Group

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SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES

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Subgroups which are the union of three conjugate classes

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Identifiers

zbMATH Open document ID

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10.22108/ijgt.2017.21216

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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:5124035

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