For 3-dimensional Bieberbach groups, we study the deformation spaces in the group of isometries of $mathbb R^3$. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of Teichm"{u}ller spaces, Chabauty spaces, and moduli spaces.
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机译：对于3维Bieberbach组，我们研究了等距 mathbb R ^ 3 $组中的变形空间。首先，我们计算离散表示空间和自同构组。然后，对于这些比伯巴赫组中的每一个，我们都给出Teichm “ {u} ller空间，Chabauty空间和模空间的完整描述。
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