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Crystallographic groups with trivial center and outer automorphism group

Published online by Cambridge University Press:  06 March 2017

RAFAŁ LUTOWSKI  and
ANDRZEJ SZCZEPAŃSKI
RAFAŁ LUTOWSKI
Affiliation:
Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland. e-mail: rlutowsk@mat.ug.edu.pl, matas@univ.gda.pl
ANDRZEJ SZCZEPAŃSKI
Affiliation:
Institute of Mathematics, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland. e-mail: rlutowsk@mat.ug.edu.pl, matas@univ.gda.pl
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 164 , Issue 2 , March 2018 , pp. 363 - 368
Copyright
Copyright © Cambridge Philosophical Society 2017 

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References

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