English

On quantitative structure of small Ree groups

Group Theory 2016-06-07 v1

Abstract

The main aim of this article is to study quantitative structure of small Ree Groups 2G2(q)^{2}G_{2}(q). Here, we prove that small Ree groups are uniquely determined by their orders and the set of the number of elements of the same order. As a consequence, we give a positive answer to J. G. Thompson's problem for simple groups 2G2(q)^{2}G_{2}(q).

Keywords

Cite

@article{arxiv.1606.00049,
  title  = {On quantitative structure of small Ree groups},
  author = {Seyed Hassan Alavi and Ashraf Daneshkhah and Hosein Parvizi Mosaed},
  journal= {arXiv preprint arXiv:1606.00049},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1606.00041

R2 v1 2026-06-22T14:14:21.797Z