Geodesic
Symmetries structure of karyon tilings
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 74-121

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, we study the symmetry properties of the karyon tilings $\mathcal{T}$ of the torus $\mathbb{T}^d$ of arbitrary dimension $d$. Its main results are the following statements: 1) The tilings $\mathcal{T}$ are translation invariant relative to the canonical shift $S$ of the torus $\mathbb{T}^d$. This is a fundamental property of the karyon tilings. 2) Nondegenerate karyon tilings $\mathcal{T}$ have $2^d$ central symmetries. 
@article{ZNSL_2021_502_a2,
     author = {V. G. Zhuravlev},
     title = {Symmetries structure of karyon tilings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {74--121},
     publisher = {mathdoc},
     volume = {502},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a2/}
}
TY  - JOUR
AU  - V. G. Zhuravlev
TI  - Symmetries structure of karyon tilings
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2021
SP  - 74
EP  - 121
VL  - 502
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a2/
LA  - ru
ID  - ZNSL_2021_502_a2
ER  - 
%0 Journal Article
%A V. G. Zhuravlev
%T Symmetries structure of karyon tilings
%J Zapiski Nauchnykh Seminarov POMI
%D 2021
%P 74-121
%V 502
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a2/
%G ru
%F ZNSL_2021_502_a2
V. G. Zhuravlev. Symmetries structure of karyon tilings. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 74-121. http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a2/