Equations of one and two variables over a free group
In this thesis we study the theory of equations over a free group. We consider basic notions in combinatorial group theory including free groups and free constructions. Using these tools and recent results involving fully residually free groups, we classify solutions to one-variable systems of eq...
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McGill University
2004
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ndltd-LACETR-oai-collectionscanada.gc.ca-QMM.812732014-02-13T03:58:43ZEquations of one and two variables over a free groupChung, Derrick Kin Hank, 1980-Mathematics.In this thesis we study the theory of equations over a free group. We consider basic notions in combinatorial group theory including free groups and free constructions. Using these tools and recent results involving fully residually free groups, we classify solutions to one-variable systems of equations over a free group. We examine some more sophisticated results involving splittings, and obtain a new theorem that describes solutions to two-variable systems of equations over a free group.McGill University2004Electronic Thesis or Dissertationapplication/pdfenalephsysno: 002173445proquestno: AAIMR06383Theses scanned by UMI/ProQuest.All items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.Master of Science (Department of Mathematics and Statistics.) http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81273 |
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NDLTD |
| language |
en |
| format |
Others
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NDLTD |
| topic |
Mathematics. |
| spellingShingle |
Mathematics. Chung, Derrick Kin Hank, 1980- Equations of one and two variables over a free group |
| description |
In this thesis we study the theory of equations over a free group. We consider basic notions in combinatorial group theory including free groups and free constructions. Using these tools and recent results involving fully residually free groups, we classify solutions to one-variable systems of equations over a free group. We examine some more sophisticated results involving splittings, and obtain a new theorem that describes solutions to two-variable systems of equations over a free group. |
| author |
Chung, Derrick Kin Hank, 1980- |
| author_facet |
Chung, Derrick Kin Hank, 1980- |
| author_sort |
Chung, Derrick Kin Hank, 1980- |
| title |
Equations of one and two variables over a free group |
| title_short |
Equations of one and two variables over a free group |
| title_full |
Equations of one and two variables over a free group |
| title_fullStr |
Equations of one and two variables over a free group |
| title_full_unstemmed |
Equations of one and two variables over a free group |
| title_sort |
equations of one and two variables over a free group |
| publisher |
McGill University |
| publishDate |
2004 |
| url |
http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81273 |
| work_keys_str_mv |
AT chungderrickkinhank1980 equationsofoneandtwovariablesoverafreegroup |
| _version_ |
1716642716512681984 |