(Let G be a group and let H ≤ G . If for all x ∈ G, (x^2)ϵH, then show that H is a normal subgroup of G, G/H is commutative quotient group. Please help

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Originally Posted by mathemanyak (Let G be a group and let H ≤ G . If for all x ∈ G, (x^2)ϵH, then show that H is a normal subgroup of G, G/H is commutative quotient group. since for any we'll have:

Last edited by NonCommAlg; July 22nd 2008 at 04:40 PM.