Exponential Genus Problems in One-Relator Products of Groups
| Author | : Andrew James Duncan |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 170 |
| Release | : 2007 |
| ISBN-10 | : 9780821839454 |
| ISBN-13 | : 0821839454 |
| Rating | : 4/5 (454 Downloads) |
Download or read book Exponential Genus Problems in One-Relator Products of Groups written by Andrew James Duncan and published by American Mathematical Soc.. This book was released on 2007 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.
