Premium
Crystallographic groups of Sol
Author(s) -
Ha Ku Yong,
Lee Jong Bum
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200304
Subject(s) - mathematics , isomorphism (crystallography) , pure mathematics , group (periodic table) , crystallography , crystal structure , chemistry , organic chemistry
We classify all the closed 3‐dimensional orbifolds with Sol‐geometry. These are aspherical orbifolds and so their fundamental groups determine the orbifolds completely. Thus we will classify all the crystallographic groups of Sol, together with all the Bieberbach groups, up to isomorphism.