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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## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Homological invariants, bieberbach groups, point groups |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 86188 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 30 Aug 2020 09:05 |

Last Modified: | 30 Aug 2020 09:05 |

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