On the order of a group of even order.
Let \(G\) be a group of even order with a unique conjugacy class of involutions. In the paper under review the authors provide an upper bound for the order of \(G\) in terms of the centralizer \(H=C_G(t)\) of an involution \(t\) in \(G\). As an application the authors provide examples of sporadic simple groups, the groups \(Ly\) and \(Th\), whose orders could be found using the upper bound obtained in this paper.
scientific article; zbMATH DE number 5143564