Applying Gröbner basis techniques to group theory |
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Authors: | Landon Rabern |
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Institution: | Department of Mathematics, UC Santa Barbara, 93106 GA, Santa Barbara, United States |
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Abstract: | We apply the machinery of Gröbner bases to finitely presented groups. This allows for computational methods to be developed which prove that a given finitely presented group is not n-linear over a field k assuming some mild conditions. We also present an algorithm which determines whether or not a finitely presented group G is trivial given that an oracle has told us that G is n-linear over an algebraically closed field k. |
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Keywords: | 20F10 20C40 13P10 |
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