THE CYCLIC GRAPH OF A Z-GROUP

DOI10.1017/S0004972720001318MaRDI QIDQ4959274

David G. Costanzo, Stefano Schmidt, Eyob Tsegaye, Mark L. Lewis, Gabe Udell

Publication date: 13 September 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07322

zbMATH Keywords

cyclic graph\(Z\)-groupenhanced power graph

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

A survey on enhanced power graphs of finite groups, Unnamed Item, Unnamed Item, On the proper enhanced power graphs of finite nilpotent groups

Uses Software

• GAP

Cites Work

• The cyclic graph (deleted enhanced power graph) of a direct product
• On the structure of the power graph and the enhanced power graph of a group
• A CONDITION IN FINITE SOLVABLE GROUPS RELATED TO CYCLIC SUBGROUPS
• On enhanced power graphs of finite groups
• The commuting graph of a soluble group
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