Journal of Integrative Natural Science (통합자연과학논문집)

The Basic Science Institute Chosun University (조선대학교 기초과학연구원)
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A Classification of the Torsion-free Extensions

  • Yoo, Won-Sok (Department of Applied Mathematics, Kumoh National Institute of Technology)
  • Received : 2021.09.07
  • Accepted : 2021.09.13
  • Published : 2021.09.30
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Abstract

The purpose of this paper is to classify the torsion-free extensions 1→ℤ3→𝛱→ℤ𝜱→1 with injective abstract kernel 𝜙 : ℤ𝜱→Aut(ℤ3). From this classification, we handle the sufficient conditions so as to classify the crystallographic groups of Sol4m,n.

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Acknowledgement

This research was supported by Kumoh National Institute of Technology (2021).

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