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Bibliographic Details
Main Authors: Hanaki, Akihide, Hirai, Takuto, Ponomarenko, Ilia
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2109.01385
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Table of Contents:
  • In his famous monograph on permutation groups, H.~Wielandt gives an example of a Schur ring over an elementary abelian group of order $p^2$ ($p>3$ is a prime), which is non-schurian, that is, it is the transitivity module of no permutation group. Generalizing this example, we construct a huge family of non-schurian Schur rings over elementary abelian groups of even rank.