About witt group of euclidean field

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In this corollary how signature is injective and surjective map to show it is isomorphic to Z?
Also why <1> has not additive order 2 and how does it imply -1 is not square.How does they show <1> has order 2n and hence formally real










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    enter image description here



    In this corollary how signature is injective and surjective map to show it is isomorphic to Z?
    Also why <1> has not additive order 2 and how does it imply -1 is not square.How does they show <1> has order 2n and hence formally real










    share|cite|improve this question























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      enter image description here



      In this corollary how signature is injective and surjective map to show it is isomorphic to Z?
      Also why <1> has not additive order 2 and how does it imply -1 is not square.How does they show <1> has order 2n and hence formally real










      share|cite|improve this question













      enter image description here



      In this corollary how signature is injective and surjective map to show it is isomorphic to Z?
      Also why <1> has not additive order 2 and how does it imply -1 is not square.How does they show <1> has order 2n and hence formally real







      linear-algebra field-theory bilinear-form






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      asked Sep 6 at 11:22









      Ninja hatori

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