On the group of isometries of the plane with generalized absolute value metric

DOI10.1216/RMJ-2009-39-2-591zbMath1271.51009MaRDI QIDQ1024955

Rüstem Kaya, Özcan Gelişgen, Ayşe Bayar, Süheyla Ekmekçi

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

dihedral groupisometrysymmetry groupsChinese checkers metrictaxicab distance

Mathematics Subject Classification ID

Metric geometry (51F99) General theory of distance geometry (51K05) Analytic geometry with other transformation groups (51N25)

Related Items (4)

Some Remarks on the Group of Isometries of a Metric Space ⋮ Unnamed Item ⋮ On the plane geometry with generalized absolute value metric ⋮ Surjective isometries of metric geometries

Cites Work

• Group of isometries of the CC-plane
• Alpha-distance -- a generalization of Chinese checker distance and taxicab distance
• The Taxicab Group
• Unnamed Item
• Unnamed Item
• Unnamed Item

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