%0 Book
%T Formal duality
%A Schüler, Robert
%D 2019
%C Rostock
%C Universität Rostock
%G English
%F 1685640575
%O vorgelegt von Robert Schüler
%O The author is supported by DFG grant SCHU 1503/7
%O GutachterInnen: Achill Schürmann (Universität Rostock, Institut für Mathematik) ; Alexander Pott (Otto-von-Guericke-Universität Magdeburg, Institut für Algebra und Geometrie)
%O Dissertation Universität Rostock 2019
%X We provide an overview of formal duality with an emphasis on the authors contributions. Every formally dual set can be obtained from a primitive formally dual set or, more generally from an irreducible formally dual set.Using several methods, including even set theory and the field-descent method, it is possible to obtain examples of primitive/irreducible formally dual sets as well as non-existence results. A graph search algorithm can be used for further investigation. Overall, primitive formally dual sets seem rare in cyclic groups, but occasionally exist in finite abelian groups.<eng>
%L 510
%9 theses
%9 Text
%9 Hochschulschrift
%R 10.18453/rosdok_id00002581
%U http://purl.uni-rostock.de/rosdok/id00002581
%U https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002581-2
%U https://d-nb.info/1293658405/34
%U https://doi.org/10.18453/rosdok_id00002581