English

The diameter of products of finite simple groups

Group Theory 2022-12-13 v1

Abstract

Following partially a suggestion by Pyber, we prove that the diameter of a product of non-abelian finite simple groups is bounded linearly by the maximum diameter of its factors. For completeness, we include the case of abelian factors and give explicit constants in all bounds.

Keywords

Cite

@article{arxiv.1902.06932,
  title  = {The diameter of products of finite simple groups},
  author = {Daniele Dona},
  journal= {arXiv preprint arXiv:1902.06932},
  year   = {2022}
}

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8 pages