THE NONABELIAN TENSOR SQUARE OF A BIEBERBACH GROUP WITH SYMMETRIC POINT GROUP OF ORDER SIX

被引：0

作者：

Ting, Tan Yee ^{[1
]}

Idrus, Nor'ashiqin Mohd ^{[1
]}

Masri, Rohaidah ^{[1
]}

Fauzi, Wan Nor Farhana Wan Mohd ^{[1
]}

Sarmin, Nor Haniza ^{[2
]}

Hassim, Hazzirah Izzati Mat ^{[2
]}

机构：

[1] Univ Pendidikan Sultan Idris, Fac Sci & Math, Dept Math, Tanjung Malim 35900, Perak, Malaysia

[2] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Utm Johor Bahru 81310, Johor, Malaysia

来源：

JURNAL TEKNOLOGI | 2016年 / 78卷 / 01期

关键词：

Bieberbach group; nonabelian tensor square; polycyclic group;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Bieberbach groups are torsion free crystallographic groups. In this paper, our focus is given on the Bieberbach groups with symmetric point group of order six. The nonabelian tensor square of a group is a well known homological functor which can reveal the properties of a group. With the method developed for polycyclic groups, the nonabelian tensor square of one of the Bieberbach groups of dimension four with symmetric point group of order six is computed. The nonabelian tensor square of this group is found to be not abelian and its presentation is constructed.

引用

页码：189 / 193

页数：5

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