\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
The order of every finite group $G$ can be expressed as a product
of coprime positive integers $m_1,\ldots, m_t$ such that
$\pi(m_i)$ is a connected component of the prime graph of $G$. The
integers $m_1,\ldots, m_t$ are called the order components of $G$.
Some non-abelian simple groups are known to be uniquely determined
by their order components. As the main result of this paper, we
show that the projective symplectic groups $C_2(q)$ where $q>5$
are also uniquely determined by their order components. As
corollaries of this result, the validities of a conjecture by J.G.
Thompson and a conjecture by W. Shi and J. Be for $C_2(q)$ with
$q>5$ are obtained.
\end{document}