Magnetic translation groups as group extension
Wojciech Florek
Abstract
Extensions of a direct product T of two cyclic groups Zn1 and Zn2 by an Abelian (gauge) group G with the trivial action of T on G are considered. All possible (nonequivalent) factor systems are determined using the Mac Lane method. Some of resulting groups describe magnetic translation groups. As examples extensions with G=U(1) and G=Zn are considered and discussed.
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