A 2-local characterization of \(M(24)'\).
The author proves the following theorem. Let \(G\) be a finite group and \(z\) be an involution in \(G\). If \(z\) is not weakly closed in \(O^2(C_G(z))\) with respect to \(G\), then \(G\) is isomorphic to Fischer's 3-transposition group \(M(24)' =Fi_{24}'\). This result is an improvement of the same result by \textit{S. L. Davis} and \textit{R. Solomon} [Commun. Algebra 9, 1725-1742 (1981; Zbl 0472.20007)].
scientific article; zbMATH DE number 6093467