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# Lea Renner : Left-Ordered Groups

Group theory is one of the basic topics of abstract algebra and therefore probably well-known. In this talk, we are going to introduce left-orders on groups and expand the fundamental theorem of homomorphisms from groups to ordered groups. We will see some examples of left-ordered groups that show different levels of orderability and, time permitting, formulate a theorem of A. Rhemtulla which discusses the existence of torsion-free groups without any order.

**Category**: Graduate/Faculty Seminar**Duration**: 01:19:16**Date**: September 21, 2012 at 4:25 PM**Views**: 119-
**Tags:**seminar, Graduate/faculty Seminar

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