Magnetic translation groups as group extension
arXiv:cond-mat/9803188 · doi:10.1016/0034-4877(94)90019-1
Abstract
Extensions of a direct product T of two cyclic groups Z_n1 and Z_n2 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=Z_n are considered and discussed.
10 pages
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