Left Orderable Residually Finite p-groups
| dc.contributor.author | Withrow, Camron Michael | en |
| dc.contributor.committeechair | Linnell, Peter A. | en |
| dc.contributor.committeemember | Ball, Joseph A. | en |
| dc.contributor.committeemember | Brown, Ezra A. | en |
| dc.contributor.department | Mathematics | en |
| dc.date.accessioned | 2014-01-04T09:00:07Z | en |
| dc.date.available | 2014-01-04T09:00:07Z | en |
| dc.date.issued | 2014-01-03 | en |
| dc.description.abstract | 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. | en |
| dc.description.degree | Master of Science | en |
| dc.format.medium | ETD | en |
| dc.identifier.other | vt_gsexam:2150 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/24782 | en |
| dc.publisher | Virginia Tech | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | left orderable group | en |
| dc.subject | residually finite p-group | en |
| dc.title | Left Orderable Residually Finite p-groups | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | masters | en |
| thesis.degree.name | Master of Science | en |
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