2020•Communications in AlgebraRequires access

Extension of crystallographic groups by or

John G. Ratcliffe, Steven T. Tschantz

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Abstract

In this paper, we develop the theory for classifying all pairs such that is an n-space group and N is a normal subgroup of such that is infinite cyclic or infinite dihedral, up to isomorphism.

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What this paper is about

In this paper, we develop the theory for classifying all pairs such that is an n-space group and N is a normal subgroup of such that is infinite cyclic or infinite dihedral, up to isomorphism.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we develop the theory for classifying all pairs such that is an n-space group and N is a normal subgroup of such that is infinite cyclic or infinite dihedral, up to isomorphism.

Key concepts: Mathematics, Dihedral group, Isomorphism (crystallography), Extension (predicate logic), Dihedral angle, Combinatorics, Group (periodic table), Space (punctuation)

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