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TitleApplying Gröbner basis techniques to group theory
Author(s) Landon Rabern
TypeArticle in Journal
AbstractWe 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 .
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404906001861
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume210
Number1
Pages137 - 140
Year2007
Edition0
Translation No
Refereed No
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