Recent updates on homological invariants of bieberbach groups
Homological invariants or homological functors of groups have their roots in algebraic K-theory and homotopy theory. They were first used in algebraic topology, but are common in many areas of mathematics. The homological invariants are also used in group cohomology to classify abelian group extensi...
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my.utm.861882020-08-30T09:05:10Z http://eprints.utm.my/id/eprint/86188/ Recent updates on homological invariants of bieberbach groups Sarmin, N. H. Mat Hassim, H. I. Mohammad, S. A. Mohd. Idrus, N. Masri, R. Tan, Y. T. QA Mathematics Homological invariants or homological functors of groups have their roots in algebraic K-theory and homotopy theory. They were first used in algebraic topology, but are common in many areas of mathematics. The homological invariants are also used in group cohomology to classify abelian group extensions. Researches on homological invariants have grown intensively over the years. In this paper, recent updates of the homological invariants of Bieberbach groups with certain point groups will be presented. Furthermore, some of the homological invariants of a Bieberbach group of dimension six with quaternion point group of order eight are computed. SEAMS 2018 Article PeerReviewed Sarmin, N. H. and Mat Hassim, H. I. and Mohammad, S. A. and Mohd. Idrus, N. and Masri, R. and Tan, Y. T. (2018) Recent updates on homological invariants of bieberbach groups. Southeast Asian Bulletin of Mathematics, 42 (5). pp. 729-746. ISSN 0129-2021 |
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QA Mathematics Sarmin, N. H. Mat Hassim, H. I. Mohammad, S. A. Mohd. Idrus, N. Masri, R. Tan, Y. T. Recent updates on homological invariants of bieberbach groups |
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Homological invariants or homological functors of groups have their roots in algebraic K-theory and homotopy theory. They were first used in algebraic topology, but are common in many areas of mathematics. The homological invariants are also used in group cohomology to classify abelian group extensions. Researches on homological invariants have grown intensively over the years. In this paper, recent updates of the homological invariants of Bieberbach groups with certain point groups will be presented. Furthermore, some of the homological invariants of a Bieberbach group of dimension six with quaternion point group of order eight are computed. |
| format |
Article |
| author |
Sarmin, N. H. Mat Hassim, H. I. Mohammad, S. A. Mohd. Idrus, N. Masri, R. Tan, Y. T. |
| author_facet |
Sarmin, N. H. Mat Hassim, H. I. Mohammad, S. A. Mohd. Idrus, N. Masri, R. Tan, Y. T. |
| author_sort |
Sarmin, N. H. |
| title |
Recent updates on homological invariants of bieberbach groups |
| title_short |
Recent updates on homological invariants of bieberbach groups |
| title_full |
Recent updates on homological invariants of bieberbach groups |
| title_fullStr |
Recent updates on homological invariants of bieberbach groups |
| title_full_unstemmed |
Recent updates on homological invariants of bieberbach groups |
| title_sort |
recent updates on homological invariants of bieberbach groups |
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SEAMS |
| publishDate |
2018 |
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http://eprints.utm.my/id/eprint/86188/ |
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1677781143202562048 |