Crystallographic groups with trivial center and outer automorphism group

被引：0

作者：

Lutowski, Rafal ^{[1
]}

Szczepanski, Andrzej ^{[1
]}

机构：

[1] Univ Gdansk, Inst Math, Ul Wita Stwosza 57, PL-80952 Gdansk, Poland

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2018年 / 164卷 / 02期

关键词：

D O I：

10.1017/S0305004117000251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Gamma be a crystallographic group of dimension n, i.e. a discrete, cocompact subgroup of Isom (R-n) = O(n) proportional to R-n. For any n >= 2, we construct a crystallographic group with a trivial center and trivial outer automorphism group.

引用

页码：363 / 368

页数：6

共 8 条

[1] Finite groups and hyperbolic manifolds [J].

Belolipetsky, M ;

Lubotzky, A .

INVENTIONES MATHEMATICAE, 2005, 162 (03) :459-472

[2]

Charlap L.S., 1986, Bieberbach groups and flat manifolds

[3] Finite Outer Automorphism Groups of Crystallographic Groups [J].

Lutowski, Rafal .

EXPERIMENTAL MATHEMATICS, 2013, 22 (04) :456-464

[4] On Symmetry of Flat Manifolds [J].

Lutowski, Rafal .

EXPERIMENTAL MATHEMATICS, 2009, 18 (02) :201-204

[5]

Serre J.-P., 1977, Graduate Texts in Mathematics

[6]

SZCZEPANSKI A., 2012, GEOMETRY CRYSTALLOGR, V4

[7] Problems on bieberbach groups and flat manifolds [J].

Szczepanski, Andrzej .

GEOMETRIAE DEDICATA, 2006, 120 (01) :111-118

[8] A flat manifold with no symmetries [J].

Waldmüller, R .

EXPERIMENTAL MATHEMATICS, 2003, 12 (01) :71-77

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