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

    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. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.