Outer Automorphism Groups of Ordered Permutation Groups

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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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Group Theory, Logic

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https://dspace.dare.co.zw/handle/123456789/94393

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arXiv

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