English

Exponent and number of generators in a finite group

Group Theory 2025-08-28 v1

Abstract

We present a sharp upper bound for the number of generators of a finite group in terms of the ratio between the order and the exponent.

Keywords

Cite

@article{arxiv.2508.19275,
  title  = {Exponent and number of generators in a finite group},
  author = {Luca Sabatini},
  journal= {arXiv preprint arXiv:2508.19275},
  year   = {2025}
}

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3 pages