The diameter of the commuting graph of a finite group with trivial centre

2013/01/10 by G. L. Morgan, Morgan, G. L., C. W. Parker +1 · 3 citations
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1301.2341

arxiv created 2013/01/10 · arxiv updated 2013/01/14

Abstract

The commuting graph of a finite group with trivial centre is examined. It is shown that the connected components of the commuting graph have diameter at most 10.

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• The Difference Subgroup Graph of a Finite Group
• Prime Order Element Graph of a Group -- II

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