关于三维空间群
On Three-Dimensional Space Groups
摘要：
一个全新的和独立的枚举的晶体空间群，获得的基础上，纤维化的平面晶体群，当这是可能的。对于35个“不可约”的群体，它不是，一个独立的方法是使用，具有阐明他们的子群关系的优势。每个空间群都被赋予一个简短的“纤维状名称”，它很像二维群的轨道名称，虽然只指定到合痕，但包含足够的信息来允许从名称构造群。
英文摘要：
An entirely new and independent enumeration of the crystallographic space groups is given, based on obtaining the groups as fibrations over the plane crystallographic groups, when this is possible. For the 35 ``irreducible'' groups for which it is not, an independent method is used that has the advantage of elucidating their subgroup relationships. Each space group is given a short ``fibrifold name'' which, much like the orbifold names for two-dimensional groups, while being only specified up to isotopy, contains enough information to allow the construction of the group from the name.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
