Ordered groups and a theorem of Farrell
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Date
2020-08-19
Authors
Ayoob, Irshad
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Abstract
This thesis provides a review of left/right orderable and circularly orderable groups.
A detailed proof of the classical Farrell’s theorem for left orderable groups is given,
and is generalized to the case of circularly orderable groups through a cohomological
argument. This generalizes the classical Farrell’s theorem, in the sense that left
orderable group may be viewed as the special case of circularly orderable group.
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Mathematics