Premium
Word problems, embeddings, and free products of right‐ordered groups with amalgamated subgroup
Author(s) -
Bludov V. V.,
Glass A. M. W.
Publication year - 2009
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdp008
Subject(s) - mathematics , free product , embedding , permutation (music) , combinatorics , word (group theory) , group (periodic table) , finitely generated abelian group , discrete mathematics , computer science , chemistry , physics , geometry , organic chemistry , artificial intelligence , acoustics
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.