Word problems, embeddings, and free products of right-ordered groups with amalgamated subgroup

Word problems, embeddings, and free products of right-ordered groups with amalgamated subgroup

We use permutation groups to give necessary and sufficient conditions for the free product of right-ordered groups with amalgamated subgroup to be right orderable. We obtain several consequences answering previously posed problems and also prove the right-orderable analogues of the Higman Embedding...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2009-11, Vol.99 (3), p.585-608
Hauptverfasser: Bludov, V. V., Glass, A. M. W.
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Glass, A. M. W.
description We use permutation groups to give necessary and sufficient conditions for the free product of right-ordered groups with amalgamated subgroup to be right orderable. We obtain several consequences answering previously posed problems and also prove the right-orderable analogues of the Higman Embedding Theorem and the Boone–Higman Theorem.
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title Word problems, embeddings, and free products of right-ordered groups with amalgamated subgroup
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