Outer automorphism groups of ordered permutation groups
Copyright policy )Outer automorphism groups of ordered permutation groups
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,<=).
Dedekind completions, Multiply transitive infinite groups, Mathematics - Logic, Group Theory (math.GR), FOS: Mathematics, outer automorphism groups, Representations of groups as automorphism groups of algebraic systems, Automorphism groups of groups, Ordered groups, Logic (math.LO), automorphism groups of doubly homogeneous chains, Mathematics - Group Theory
Dedekind completions, Multiply transitive infinite groups, Mathematics - Logic, Group Theory (math.GR), FOS: Mathematics, outer automorphism groups, Representations of groups as automorphism groups of algebraic systems, Automorphism groups of groups, Ordered groups, Logic (math.LO), automorphism groups of doubly homogeneous chains, Mathematics - Group Theory
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