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 nlinear 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 nlinear 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  137140  Year  2007  Edition  0  Translation 
No  Refereed 
Yes 
