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W.Glass, Word problems, embeddings, and free products of rightordered groups with amalgamated subgroup
 Proc. London Math. Soc. 2009; doi: 10.1112/plms/pdp008
"... Dedicated to Graham Higman, in memoriam, with gratitude for his research. 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 pr ..."
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Cited by 11 (4 self)
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Dedicated to Graham Higman, in memoriam, with gratitude for his research. 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. AMS Classification: 06F15, 20F60, 20B27, 20F10.
Unsolved Problems in Ordered and Orderable Groups
, 2009
"... The study of partially ordered and latticeordered groups arose from three distinct sources. The first source is functional analysis; in particular, the study of realvalued functions on a topological space. Besides the addition of ..."
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The study of partially ordered and latticeordered groups arose from three distinct sources. The first source is functional analysis; in particular, the study of realvalued functions on a topological space. Besides the addition of