@Book{1685640575,
author="Sch{\"u}ler, Robert",
title="Formal duality",
year="2019",
address="Rostock",
abstract="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>",
school="Universit{\"a}t Rostock",
note="vorgelegt von Robert Sch{\"u}ler",
note="The author is supported by DFG grant SCHU 1503/7",
note="GutachterInnen: Achill Sch{\"u}rmann (Universit{\"a}t Rostock, Institut f{\"u}r Mathematik) ; Alexander Pott (Otto-von-Guericke-Universit{\"a}t Magdeburg, Institut f{\"u}r Algebra und Geometrie)",
note="Dissertation Universit{\"a}t Rostock 2019",
doi="10.18453/rosdok_id00002581",
url="http://purl.uni-rostock.de/rosdok/id00002581",
url="https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002581-2",
url="https://d-nb.info/1293658405/34",
url="https://doi.org/10.18453/rosdok_id00002581",
language="English"
}