Let G be a group, not necessarily finite, and let H be subgroup G.
(a) Prove that U = intersection of all x in G xHx^-1 is the largest
normal subgroup of G contained in H.
(b) Show that no proper subgroup H of A_5 contains six distinct Sylow
I need a detailed rigorous proof of this to study please.© BrainMass Inc. brainmass.com December 24, 2021, 7:53 pm ad1c9bdddf
If N is a normal subgroup of G contained in H, then the intersection of all the conjugates of N in G is contained in the intersection of all the ...
This provides an example of completing a proof about the largest normal subgroup in a group and Sylow 5-subgroups.