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The Divisibility Graph of finite groups of Lie type |
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| Authors: | Adeleh Abdolghafourian Mohammad A. Iranmanesh Alice C. Niemeyer |
| Affiliation: | 1. Department of Mathematics, Yazd University, Yazd, 89195-741, Iran;2. Lehrstuhl B für Mathematik, Pontdriesch 10-16, RWTH Aachen University, 52062 Aachen, Germany |
| Abstract: | The Divisibility Graph of a finite group G has vertex set the set of conjugacy class sizes of non-central elements in G and two vertices are connected by an edge if one divides the other. We determine the connected components of the Divisibility Graph of the finite groups of Lie type in odd characteristic. |
| Keywords: | Primary 20G40 secondary 05C25 |
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