Let p and q be distinct primes, and G an elementary amenable group that is a residually finite p-group and a residually finite q-group. We conjecture that such groups G are left orderable. In this paper we show some results which came as attempts to prove this conjecture. In particular we give a condition under which split extensions of residually finite p-groups are again residually finite p-groups. We also give an example which shows that even for elementary amenable groups, it is not sufficient for biorderablity that the group be a residually finite p-group and a residually finite q-group. / Master of Science
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/24782 |
| Date | 03 January 2014 |
| Creators | Withrow, Camron Michael |
| Contributors | Mathematics, Linnell, Peter A., Ball, Joseph A., Brown, Ezra A. |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Detected Language | English |
| Type | Thesis |
| Format | ETD, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
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