A 5-local identification of the monster

摘要

Let G be a locally K-proper group, S is an element of Syl(5)(G), and Z = Z(S). We demonstrate that if N-G(Z) similar to 5(+)(1+6).4(.) J(2.)2 is 5-constrained and Z is not weakly closed in O-5(N-G(Z)) then G is isomorphic to the monster sporadic simple group.