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 |
|
