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math.GR2022
On groups with chordal power graph, including a classification in the case of finite simple groups
Jendrik Brachter, Eda Kaja
We prove various properties on the structure of groups whose power graph is chordal. Nilpotent groups with this property have been classified by Manna, Cameron and Mehatari [The El…
math.GR2022
Classification of non-solvable groups whose power graph is a cograph
Jendrik Brachter, Eda Kaja
Cameron, Manna and Mehatari investigated the question of which finite groups admit a power graph that is a cograph, also called power-cograph groups (Journal of Algebra 591 (2022))…