Abstract
We seek new maximal subgroups of the group A(R) of order-automorphisms of the real line R. This leads us to investigate supplements of the normal subgroup B(R) consisting of the elements of bounded support. (A supplement of B is a subgroup H of A such that BH = A.) Here R could be replaced by the rational line Q, and often by any doubly homogeneous chain Ω.
The authors thank the National Science Foundation for the partial support provided by NSF Grant DMS-9106192. The first author also wishes to thank the US-UK Division of NSF for a grant to the Mathematical Institute, Oxford, where some of this work was done. He is most grateful to the members of the Institute and especially Peter Neumann for their warm hospitality.
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© 1993 Springer Science+Business Media Dordrecht
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Glass, A.M.W., McCleary, S.H. (1993). Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains. In: Martinez, J., Holland, C. (eds) Ordered Algebraic Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1723-4_4
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DOI: https://doi.org/10.1007/978-94-011-1723-4_4
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