Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds
The conjugacy problem for a group <i>G</i> is one of the important algorithmic problems deciding whether or not two elements in <i>G</i> are conjugate to each other. In this paper, we analyze the graph of group structure for the fundamental group of a high-dimensional graph m...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/12/1330 |
| _version_ | 1797530828900663296 |
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| author | Raeyong Kim |
| author_facet | Raeyong Kim |
| author_sort | Raeyong Kim |
| collection | DOAJ |
| description | The conjugacy problem for a group <i>G</i> is one of the important algorithmic problems deciding whether or not two elements in <i>G</i> are conjugate to each other. In this paper, we analyze the graph of group structure for the fundamental group of a high-dimensional graph manifold and study the conjugacy problem. We also provide a new proof for the solvable word problem. |
| first_indexed | 2024-03-10T10:34:32Z |
| format | Article |
| id | doaj.art-d2df0667aa6d45f385f15af7387e8e00 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T10:34:32Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d2df0667aa6d45f385f15af7387e8e002023-11-21T23:23:10ZengMDPI AGMathematics2227-73902021-06-01912133010.3390/math9121330Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph ManifoldsRaeyong Kim0Department of Mathematics & Industrial Mathematics, College of Natural and Life Sciences, Daegu University, Gyeongsan 38453, KoreaThe conjugacy problem for a group <i>G</i> is one of the important algorithmic problems deciding whether or not two elements in <i>G</i> are conjugate to each other. In this paper, we analyze the graph of group structure for the fundamental group of a high-dimensional graph manifold and study the conjugacy problem. We also provide a new proof for the solvable word problem.https://www.mdpi.com/2227-7390/9/12/1330high-dimensional graph manifoldsconjugacy problemgraph of groups |
| spellingShingle | Raeyong Kim Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds Mathematics high-dimensional graph manifolds conjugacy problem graph of groups |
| title | Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds |
| title_full | Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds |
| title_fullStr | Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds |
| title_full_unstemmed | Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds |
| title_short | Conjugacy Problem in the Fundamental Groups of High-Dimensional Graph Manifolds |
| title_sort | conjugacy problem in the fundamental groups of high dimensional graph manifolds |
| topic | high-dimensional graph manifolds conjugacy problem graph of groups |
| url | https://www.mdpi.com/2227-7390/9/12/1330 |
| work_keys_str_mv | AT raeyongkim conjugacyprobleminthefundamentalgroupsofhighdimensionalgraphmanifolds |