• Title/Summary/Keyword: crystallographic

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The Geometry Descriptions of Crystallographic Groups of Sol41

  • Yoo, Won Sok
    • Journal of Integrative Natural Science
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    • v.10 no.2
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    • pp.110-114
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    • 2017
  • The connected and simply connected four-dimensional matrix solvable Lie group $Sol^4_1$ is the four-dimensional geometry. A crystallographic group of $Sol^4_1$ is a discrete cocompact subgroup of $Sol^4_1{\rtimes}D(4)$. In this paper, we geometrically describe the crystallographic groups of $Sol^4_1$.