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Character table sudokus

Authors :
Benjamin Sambale
Source :
Archiv der Mathematik 121 (2023), Archiv der Mathematik
Publication Year :
2023
Publisher :
Berlin ; Heidelberg : Springer, 2023.

Abstract

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.<br />8 pages, typo corrected (thanks to \'Angel del R\'io)

Details

Language :
English
Database :
OpenAIRE
Journal :
Archiv der Mathematik 121 (2023), Archiv der Mathematik
Accession number :
edsair.doi.dedup.....6081456d0639bb777937bd9ec621a3ae
Full Text :
https://doi.org/10.15488/14184