Outer Automorphism Groups of Ordered Permutation Groups

Mathematics – Group Theory

Scientific paper

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Scientific paper

An infinite linearly ordered set (S,<=) is called doubly homogeneous if its
automorphism group A(S) acts 2-transitively on it. We show that any group G
arises as outer automorphism group G cong Out(A(S)) of the automorphism group
A(S), for some doubly homogeneous chain (S,<=).

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