Nonprimitive translations for a finite linear chain

Andrzej Wal, Marian Kuźma · Journal of Physical Studies · 1999

According to the recipe of Weyl the full symmetry of a nite one-dimensional chain is described by the group which is the extension of the translation group by the group of its automorphisms.One can propose a method based on the embedding of one group in another which allows us to derive the nonprimitive translation for these extensions.The example of such calculations is given for the groups of the orders of 48 and 6.

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