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Ordering
BS$(1,3)$ using the Magnus transformation
Patrick Bahls, Voula Collins and Elizabeth Heron
Vol. 2 (2009), No. 2, 211–223
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Abstract |
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Following a similar treatment of the Baumslag–Solitar group by Bahls, we modify a transformation developed by Magnus to linearly order the group given by the presentation . We demonstrate how this same method will fail to admit such a treatment of the groups , . |
Keywords
Group ordering, BS(1,n), Baumslag–Solitar, Magnus
transformation
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Mathematical Subject Classification 2000
Primary: 06F15, 20F60
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Milestones
Received: 12 September 2008
Revised: 12 January 2009
Accepted: 13 January 2009
Published: 7 May 2009
Communicated by Nigel Boston
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Authors |
| Patrick Bahls | |
| University of North Carolina,
Asheville Asheville, NC 28806 United States |
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| Voula Collins | |
| Department of Mathematics Wellesley College Wellesley, MA 02481 United States |
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| Elizabeth Heron | |
| Department of Mathematics Wake Forest University Winston-Salem, NC 27109 United States |
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