The Finitary Andrews-Curtis Conjecture
| Autor: | Borovik, Alexandre V., Lubotzky, Alexander, Myasnikov, Alexei G. |
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| Rok vydání: | 2011 |
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| Druh dokumentu: | Working Paper |
| Popis: | The well known Andrews-Curtis Conjecture [2] is still open. In this paper, we establish its finite version by describing precisely the connected components of the Andrews-Curtis graphs of finite groups. This finite version has independent importance for computational group theory. It also resolves a question asked in [5] and shows that a computation in finite groups cannot lead to a counterexample to the classical conjecture, as suggested in [5]. Comment: Appeared in Progress in Mathematics, Vol. 248, 15-30. 2005 Birkh\"auser Verlag Basel/Switzerland |
| Databáze: | arXiv |
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