On quantitative structure of small Ree groups

Abstract

The main aim of this article is to study quantitative structure of small Ree Groups ${}^2{G}_2(q)$. 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 ${}^2{G}_2(q)$.

arXiv admin note: text overlap with arXiv:1606.00041