Details:
Title | Applying Groebner Basis Techniques To Group Theory | Author(s) | Landon Rabern | Type | Article in Journal | Abstract | We apply the machinery of Groebner 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
is n-linear over an algebraically closed field.
| Keywords | groebner, group, word problem, residually linear |
File |
| Language | English | Journal | Journal of Pure and Applied Algebra | Series | 210 | Volume | 1 | Pages | 137-140 | Year | 2007 | Edition | 0 | Translation |
No | Refereed |
Yes |
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