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arxiv: 1209.2279 · v1 · pith:ODM75C4Ynew · submitted 2012-09-11 · 🧮 math.GR

The commuting graph of a soluble group

classification 🧮 math.GR
keywords graphcommutingsolublecentrediametergrouptrivialdisconnected
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The commuting graph of a finite soluble group with trivial centre is investigated. It is shown that the diameter of such a graph is at most 8 or the graph is disconnected. Examples of soluble groups with trivial centre and commuting graph of diameter 8 are provided.

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