Automorphism group of an ordered abelian group

Discussion in 'Math Research' started by Linus Kramer, Dec 3, 2003.

  1. Linus Kramer

    Linus Kramer Guest

    I have a question on automorphisms of ordered abelian
    groups.

    Suppose that M is a (divisible) ordered abelian group.
    Then the automorphism group Aut(M) is in a natural way
    partially ordered (put f \leq g if f(|x|)\leq g(|x|)
    for all x in M).
    Now my question is: is Aut(M) directed, i.e. given f,g in
    Aut(M), is there an h in Aut(M) which is an upper bound for
    f and g?

    --Linus Kramer
     
    Linus Kramer, Dec 3, 2003
    #1
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