Triangles in the graph of conjugacy classes of normal subgroups

DOI10.1007/s00605-015-0866-9zbMath1365.20017OpenAlexW2230942725MaRDI QIDQ504107

María José Felipe, Carmen Melchor, Antonio Beltrán Felip

Publication date: 25 January 2017

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0866-9

zbMATH Keywords

conjugacy classesfinite groupsnormal subgroupsgraphs

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) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Landau’s theorem on conjugacy classes for normal subgroups, Conjugacy classes contained in normal subgroups: an overview, The divisibility graph for F-groups

Uses Software

• GAP

Cites Work

• Unnamed Item
• Graphs associated to conjugacy classes of normal subgroups in finite groups.
• Finite soluble groups
• Subgroups which are the union of three conjugate classes
• Finite groups with graphs containing no triangles
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• Finite Groups in Which Every Element Has Prime Power Order
• On a Graph Related to Conjugacy Classes of Groups
• Classification of Finite Groups with all Elements of Prime Order
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group