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

DOI10.1016/j.jalgebra.2015.06.040zbMath1331.20028OpenAlexW1144693000MaRDI QIDQ497717

Carmen Melchor, María José Felipe, Antonio Beltrán Felip

Publication date: 25 September 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.06.040

zbMATH Keywords

connected componentsfinite groupsnormal subgroupsconjugacy class sizesconjugacy class graphsdiameters of graphscommon divisor graphsprime divisor graphs

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

NORMAL SUBGROUPS WHOSE CONJUGACY CLASS GRAPH HAS DIAMETER THREE ⋮ Triangles in the graph of conjugacy classes of normal subgroups ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ ON THE REGULAR GRAPH RELATED TO THE G-CONJUGACY CLASSES

Uses Software

• GAP

Cites Work

• Structure of normal subgroups with three \(G\)-class sizes.
• Character theory of finite groups
• On graphs related to conjugacy classes of groups
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• On a Graph Related to Conjugacy Classes of Groups
• On the Diameter of a Graph Related to Conjugacy Classes of Groups

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