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arXiv · 1209.2279

The commuting graph of a soluble group

Chris Parker
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Abstract

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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Chris Parker. 2012-09-11. The commuting graph of a soluble group. https://doi.org/10.1112/blms%2Fbdt005

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