Question #10400034

Proving Subgroups and Cyclic?

Let G be a group, let H be a subgroup of G, and fix x ∈ G. Define 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.

2013-09-15 20:04:57

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