Finite Outer Automorphism Groups of Crystallographic Groups

被引：5
作者：
Lutowski, Rafal [1 ]
机构：
[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland
来源：
EXPERIMENTAL MATHEMATICS | 2013年 / 22卷 / 04期
关键词：
crystallographic group; outer automorphism; flat manifold; symmetry; ALGORITHM; ESSAY;
D O I：
10.1080/10586458.2013.838719
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an algorithmic approach to the problem of calculating finite outer automorphism groups of crystallographic groups. As an intermediate product in the process, we get automorphism groups of those groups as well. In the special case of Bieberbach groups, the algorithm can be used to get information about the structure of symmetry groups of flat manifolds.
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页码：456 / 464
页数：9
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