Counterexamples on the Fusion of Involutions in Finite Groups

Stephen Doro
1976 Proceedings of the American Mathematical Society  
Some examples are given of simple groups G containing a conjugacy class of involutions fi such that if S is a Sylow 2-subgroup of G, then there exist subgroups A C B C S with \A : B\ = 2 and fi n S C B -A.
doi:10.2307/2042029 fatcat:sya6yfxm5raurlwb2cgpwxr6ve