Radical 2-subgroups of the Monster and the Baby Monster.
Let \(p\) be a prime divisor of the order of a finite group \(G\). A non-trivial \(p\)-subgroup \(R\) of \(G\) is called radical if \(R=O_p(N_G(R))\), where \(O_p(X)\) denotes the largest normal \(p\)-subgroup of a group \(X\). U. Meierfrankenfeld and S. Shpectorov have classified all the maximal \(2\)-local subgroups of the Monster (\(M\)) and the Baby Monster (\(BM\)) sporadic groups. Using these results, the author of the paper under review finds the radical \(2\)-subgroups of the groups \(M\) and \(BM\).
scientific article; zbMATH DE number 2173132