English

Generating alternating and symmetric groups with two elements of fixed order

Group Theory 2018-02-20 v1

Abstract

We answer a question raised by Lanier about the possibility of generating AnA_n and SnS_n with two elements of order kk, where nk3n \geqslant k \geqslant 3. We show that this can always be done apart from some clear exceptions.

Keywords

Cite

@article{arxiv.1802.06213,
  title  = {Generating alternating and symmetric groups with two elements of fixed order},
  author = {Daniele Garzoni},
  journal= {arXiv preprint arXiv:1802.06213},
  year   = {2018}
}
R2 v1 2026-06-23T00:25:17.314Z