@Book{104693435X, author="Friese, Erik", title="Generic symmetries of group representations", year="2018", address="Rostock", abstract="In the seventies, L{\'a}szl{\'o} Babai has classified all finite groups isomorphic to Euclidean symmetry groups of vertex transitive polytopes. In the same paper, Babai asked for a related classification of the affine symmetry groups of orbit polytopes. The present dissertation introduces an algebraic theory of ``generic symmetries'' of group representations which is capable not only to reprove Babai's classical result, but also to answer Babai's question.", school="Universit{\"a}t Rostock", note="vorgelegt von Erik Friese", note="Dissertation Universit{\"a}t Rostock 2018", doi="10.18453/rosdok_id00002383", url="http://purl.uni-rostock.de/rosdok/id00002383", url="https://nbn-resolving.org/urn:nbn:de:gbv:28-rosdok_id00002383-3", url="https://d-nb.info/1293655015/34", url="https://doi.org/10.18453/rosdok_id00002383", language="English" }