Abstract
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 ≅ Out(A(S)) of the automorphism group A(S), for some doubly homogeneous chain (S, ≤).
Original language | English |
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Pages (from-to) | 605-621 |
Number of pages | 17 |
Journal | Forum Mathematicum |
Volume | 14 |
Issue number | 4 |
DOIs | |
State | Published - 2002 |