ON THE ZAPPA-SZÉP PRODUCT

By Matthew G. Brin. 2004

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Abstract The Zappa-Szép product of a pair of groups generalizes the semidirect product in that neither factor is assumed to be normal in the result. We extend the applicability of the Zappa-Szép product to multiplicative structures more general than groups with emphasis on categories and monoids. We also explore the preservation of various properties of the multiplication under the Zappa-Szép product.

Subfields: Discrete Mathematics and Combinatorics, Economics and Econometrics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/cc8e1dff2f70c6348db427fd52c8d24167eacac5