Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\). (Q2629554)

Let \(G\) be a finite group and \(N(G)\) denote the set of orders of conjugacy classes of \(G\). One of Thompson's conjectures states that if \(G\) is a finite group with \(Z(G)=1\), and \(S\) is a finite group such that \(N(G)=N(S)\), then \(G\) is isomorphic to \(S\). In the paper under review the author proves that Thompson's conjecture holds for the simple groups \(B_n(q)\) and \(C_n(q)\).