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Crystallographic groups with trivial center and outer automorphism group

Published online by Cambridge University Press:  06 March 2017

RAFAŁ LUTOWSKI
Affiliation:
Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland. e-mail: [email protected], [email protected]
ANDRZEJ SZCZEPAŃSKI
Affiliation:
Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland. e-mail: [email protected], [email protected]

Abstract

Let Γ be a crystallographic group of dimension n, i.e. a discrete, cocompact subgroup of Isom(ℝn) = O(n) ⋉ ℝn. For any n ⩾ 2, we construct a crystallographic group with a trivial center and trivial outer automorphism group.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2017 

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References

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