Free Groups from Fields |
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Authors: | Cohen Stephen D; Glass A M W |
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Institution: | Department of Mathematics, University of Glasgow Glasgow G12 8QW, Scotland
Department of Mathematics and Statistics, Bowling Green State University Bowling Green, Ohio 43403-0221 USA |
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Abstract: | In the nineteenth century, field theory brilliantly resolveda number of questions that had taxed mathematicians for centuries;for example, The circle cannot be squared by straightedge and compass, and solving polynomial equations by radicalsis not always possible. These successes have continued to beheld up as superb examples of the power of mathematical thought,and are demonstrated at an undergraduate level. The purposeof this article is to provide another such natural example whichleads to a concrete realisation of the free group on 2 generators. |
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