Author

Gena Hahn

Date of Award

1-1981

Degree Type

Thesis

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

Supervisor

Professor A. Rosa

Abstract

In this thesis we extend Sabidussi's theorems on the automorphism group of the wreath product of graphs to a special kind of relational systems. That is, we define directed hypergraphs and their wreath product and prove theorems giving necessary and sufficient conditions for the group of the product to be the wreath product of the groups of the components.

This also extends our own results on the groups of the wreath products of directed graphs and hypergraphs.



Included in

Mathematics Commons

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