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The Central Subgroup of the Nonabelian Tensor Square of Bieberbach Group of Dimension Three with Point Group C_2×C_2

机译:Bieberbach尺寸三个尺寸三个尺寸三级的中央亚组,具有点组C_2×C_2

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摘要

Bieberbach groups are crystallographic groups. By computing the central subgroup of the nonabelian tensor square of a group, the properties of the group can be determined. In this paper, the central subgroup of the nonabelian tensor square of one Bieberbach group of dimension three with point group C_2 × C_2 is computed. In order to compute the V(S _3(3)), the derived subgroup and the abelianization of the group are first constructed.
机译:Bieberbach组是晶体组。通过计算组的非印记张量广平的中央子组,可以确定该组的性质。在本文中,计算了一个具有点组C_2×C_2的一个Bieberbach组的非印记张量广平的中央子组。为了计算V(S _3(3)),首先构建衍生的子组和该组的额度化。

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