Question #10400034
Proving Subgroups and Cyclic?
Let G be a group, let H be a subgroup of G, and ï¬x x ∈ G. Deï¬ne xHx^−1 = {xhx^−1 | h ∈ H}. (a) Show that xHx^−1 is a subgroup of G. (b) Show that if H is cyclic, then xHx^−1 is cyclic.
TELL US , if you have any answer