Algebra and topology of factor-lattices
Abstract
In this paper we investigate the relation between Abelian and non-Abelian groups of parity. The Abelian groups of parity are formed as kernels of homomorphisms of parity in group Zn and the non-Abelian groups of parity are formed as kernels of homomorphisms of parity in group S2 Sn. It is shown that the group of isomorphisms of the factor-lattice recieved by factorization of regular lattice with help of some Abelian group is equal to the corresponding non-Abelian group.
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