2003•Fundamenta MathematicaeOpen access

Units in group rings of crystallographic groups

Karel Dekimpe

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Abstract

In \cite{ms98-1}, the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. F

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In \cite{ms98-1}, the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. F

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Available abstract

In \cite{ms98-1}, the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. F

Key concepts: Mathematics, Affine transformation, Group (periodic table), Group ring, Crystallography, Combinatorics, Pure mathematics, Chemistry

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