Recent content by Kanchana

  1. K

    Graduate Commutator of a group is identity?

    G/[G,G] is abelian and x,y are from G/[G,G]. Then [x,y]=1..?
  2. K

    Graduate Commutator of a group is identity?

    If the group G/[G,G] is abelian then how do we show that xyx^{-1}y^{-1}=1? Thanx
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    Graduate Is G/H Always an Abelian Group if H is Normal in G?

    Let H be a normal subgroup of G. Then factor group G/H is an abelian subgroup. For x, y not in H xHyH=yHxH and xyH=yxH (xyH)(yxH)^{-1}=id xyx^{-1}y^{-1}=id Are these steps correct? thnx