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Tohoku Mathematical Journal
SECOND SERIES VOL. 68, NO. 1
|Tohoku Math. J.|
68 (2016), 49-71
CONSTRUCTION OF ISOLATED LEFT ORDERINGS VIA PARTIALLY CENTRAL CYCLIC AMALGAMATION
(Received March 20, 2014, revised August 20, 2014)
We give a new method to construct isolated left orderings of groups whose positive cones are finitely generated. Our construction uses an amalgamated free product of two groups having an isolated ordering. We construct a lot of new examples of isolated orderings, and give an example of isolated left orderings with various properties which previously known isolated orderings do not have.
Mathematics Subject Classification.
Primary 20F60; Secondary 06F15.
Key words and phrases.
Orderable groups, isolated ordering, space of left orderings.
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