Conjugacy Separability of Some One-Relator Groups
Conjugacy separability of any group of the class of one-relator groups given by the presentation ⟨𝑎,𝑏;[𝑎𝑚,𝑏𝑛]=1⟩(𝑚,𝑛>1) is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients o...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/803243 |
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| author | D. Tieudjo D. I. Moldavanskii |
| author_facet | D. Tieudjo D. I. Moldavanskii |
| author_sort | D. Tieudjo |
| collection | DOAJ |
| description | Conjugacy separability of any group of the class of one-relator groups given by the presentation ⟨𝑎,𝑏;[𝑎𝑚,𝑏𝑛]=1⟩(𝑚,𝑛>1) is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free
products and some properties of the subgroups and quotients of any group of the class of
one-relator groups given above. |
| format | Article |
| id | doaj-art-9741d522042c4eaa80188c8ab06c0efc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9741d522042c4eaa80188c8ab06c0efc2025-02-03T05:43:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/803243803243Conjugacy Separability of Some One-Relator GroupsD. Tieudjo0D. I. Moldavanskii1Department of Mathematics and Computer Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, CameroonDepartment of Algebra and Mathematical Logic, Ivanovo State University, 39, Ermak St, Ivanovo 153025, RussiaConjugacy separability of any group of the class of one-relator groups given by the presentation ⟨𝑎,𝑏;[𝑎𝑚,𝑏𝑛]=1⟩(𝑚,𝑛>1) is proven. The proof made used of theoretical combinatorial group methods, namely the structure of amalgamated free products and some properties of the subgroups and quotients of any group of the class of one-relator groups given above.http://dx.doi.org/10.1155/2010/803243 |
| spellingShingle | D. Tieudjo D. I. Moldavanskii Conjugacy Separability of Some One-Relator Groups International Journal of Mathematics and Mathematical Sciences |
| title | Conjugacy Separability of Some One-Relator Groups |
| title_full | Conjugacy Separability of Some One-Relator Groups |
| title_fullStr | Conjugacy Separability of Some One-Relator Groups |
| title_full_unstemmed | Conjugacy Separability of Some One-Relator Groups |
| title_short | Conjugacy Separability of Some One-Relator Groups |
| title_sort | conjugacy separability of some one relator groups |
| url | http://dx.doi.org/10.1155/2010/803243 |
| work_keys_str_mv | AT dtieudjo conjugacyseparabilityofsomeonerelatorgroups AT dimoldavanskii conjugacyseparabilityofsomeonerelatorgroups |