Problem 1.2. 1 = 1. Let G be a group and N be a subset of G such that for all g E G, gNg-1 C N show that for all g € G,
Posted: Tue May 10, 2022 6:46 am
Problem 1.2. 1 = 1. Let G be a group and N be a subset of G such that for all g E G, gNg-1 C N show that for all g € G, gNg-1 = N 2. Let w, y E Sym(X), Show that y(Fix(w)) C Fix(ywy-1) 2 3. Show that SymFin (X) is normal in Sym(X).