On mennicke groups of deficiency zero I
The Mennicke group M(m,n,r)=〈x,y,z,|xy=xm, yz=yn, zx=zr〉 is one of the few known 3-generator groups of deficiency zero. Several cases of M(m,n,r) are studied.
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000928 |
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| _version_ | 1832552598362652672 |
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| author | Muhammad A. Albar |
| author_facet | Muhammad A. Albar |
| author_sort | Muhammad A. Albar |
| collection | DOAJ |
| description | The Mennicke group M(m,n,r)=〈x,y,z,|xy=xm, yz=yn, zx=zr〉 is one of the few known 3-generator groups of deficiency zero. Several cases of M(m,n,r) are studied. |
| format | Article |
| id | doaj-art-da47fa858aad485fba58beafc0e27f48 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-da47fa858aad485fba58beafc0e27f482025-02-03T05:58:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018482182410.1155/S0161171285000928On mennicke groups of deficiency zero IMuhammad A. Albar0Department of Mathematical Sciences, University of Petroleum and Minerals, Dhahran, Saudi ArabiaThe Mennicke group M(m,n,r)=〈x,y,z,|xy=xm, yz=yn, zx=zr〉 is one of the few known 3-generator groups of deficiency zero. Several cases of M(m,n,r) are studied.http://dx.doi.org/10.1155/S0161171285000928presentationReidemeister-Schreier methodrelation matrix. |
| spellingShingle | Muhammad A. Albar On mennicke groups of deficiency zero I International Journal of Mathematics and Mathematical Sciences presentation Reidemeister-Schreier method relation matrix. |
| title | On mennicke groups of deficiency zero I |
| title_full | On mennicke groups of deficiency zero I |
| title_fullStr | On mennicke groups of deficiency zero I |
| title_full_unstemmed | On mennicke groups of deficiency zero I |
| title_short | On mennicke groups of deficiency zero I |
| title_sort | on mennicke groups of deficiency zero i |
| topic | presentation Reidemeister-Schreier method relation matrix. |
| url | http://dx.doi.org/10.1155/S0161171285000928 |
| work_keys_str_mv | AT muhammadaalbar onmennickegroupsofdeficiencyzeroi |