English

On a finite 2,3-generated group of period 12

Group Theory 2014-07-23 v1

Abstract

Using calculations in computer algebra systems along with some theoretic results, we construct the largest finite group of period 12 generated by an element of order 2 and an element of order 3. In particular, we prove that this group has order 266.372^{66}.3^7.

Keywords

Cite

@article{arxiv.1402.0633,
  title  = {On a finite 2,3-generated group of period 12},
  author = {Andrei V. Zavarnitsine},
  journal= {arXiv preprint arXiv:1402.0633},
  year   = {2014}
}