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On a graph related to permutability in finite groups

Ballester-Bolinches, Adolfo; Cossey, Peter (John); Esteban-Romero, R

Description

For a finite group G we define the graph Γ(G) to be the graph whose vertices are the conjugacy classes of cyclic subgroups of G and two conjugacy classes A, B are joined by an edge if for some A ∈ A, B ∈ B A and B permute. We characterise those group

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
URI: http://hdl.handle.net/1885/35974
Source: Annali di Matematica Pura ed Applicata
DOI: 10.1007/s10231-009-0124-7

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