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Graphical complexity of products of permutation groups
Authors:Mariusz Grech
Institution:Institute of Mathematics, University of Wroc?aw, pl. Grunwaldzki 2/4, 50-384 Wroc?aw, Poland
Abstract:In this paper we study representations of permutation groups as automorphism groups of colored graphs and supergraphs. In particular, we consider how such representations for various products of permutation groups can be obtained from representations of factors and how the degree of complexity increases in such constructions.
Keywords:Colored graph  Automorphism group  Permutation group  Supergraph  Direct product  Wreath product
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