Outer automorphism groups of ordered permutation groups

Manfred Droste*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)605-621
Number of pages17
JournalForum Mathematicum
Volume14
Issue number4
DOIs
StatePublished - 2002

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