Conjugacy classes contained in normal subgroups: an overview
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Publication:5124035
DOI10.22108/ijgt.2017.21216zbMath1446.20047OpenAlexW2598017671MaRDI QIDQ5124035
Carmen Melchor, Felipe Maria Jose, Antonio BeltrĂĄn Felip
Publication date: 17 September 2020
Full work available at URL: http://ijgt.ui.ac.ir/article_21216_521a00edf9dcb7b91295b2b081a9a468.pdf
Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite nilpotent groups, (p)-groups (20D15)
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Cites Work
- Normal sections, class sizes and solvability of finite groups.
- Structure of normal subgroups with three \(G\)-class sizes.
- \(p\)-divisibility of conjugacy class sizes and normal \(p\)-complements.
- Graphs associated to conjugacy classes of normal subgroups in finite groups.
- Triangles in the graph of conjugacy classes of normal subgroups
- An overview of graphs associated with character degrees and conjugacy class sizes in finite groups.
- On the normal subgroup with exactly two \(G\)-conjugacy class sizes.
- Subgroups which are the union of three conjugate classes
- Finite groups with graphs containing no triangles
- Arithmetical conditions on the length of the conjugacy classes of a finite group
- Finite groups whose noncentral class sizes have the same \(p\)-part for some prime \(p\).
- Variations of Landau's theorem for \(p\)-regular and \(p\)-singular conjugacy classes.
- SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
- THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
- NORMAL SUBGROUPS WHOSE CONJUGACY CLASS GRAPH HAS DIAMETER THREE
- A generalisation on the solvability of finite groups with three class sizes for normal subgroups
- Nilpotency of normal subgroups having two đș-class sizes
- THE NUMBER OF CONJUGACY CLASSES OF CERTAIN FINITE GROUPS
- A Bound on the Number of Conjugacy Classes of a Finite Soluble Group
- On a Graph Related to Conjugacy Classes of Groups
- On the Diameter of a Graph Related to Conjugacy Classes of Groups
- Elements of prime power order and their conjugacy classes in finite groups
- A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
- The Diameter of a Conjugacy Class Graph of Finite Groups
- Landauâs theorem on conjugacy classes for normal subgroups
- A Bound for the Number of Conjugacy Classes in a Group