Character table sudokus

It is a fun game to complete a partial character table of a finite group. We show that one can reconstruct a missing row or column from a given table. The proof relies on deep properties of fully ramified characters. Moreover, we extend a classification of groups with a “large” character degree star...

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Bibliographic Details
Published in:Archiv der Mathematik 2023-07, Vol.121 (1), p.23-32
Main Author: Sambale, Benjamin
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:It is a fun game to complete a partial character table of a finite group. We show that one can reconstruct a missing row or column from a given table. The proof relies on deep properties of fully ramified characters. Moreover, we extend a classification of groups with a “large” character degree started by Snyder and continued by Durfee and Jensen.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-023-01859-w