TY - JOUR

T1 - Character table sudokus

AU - Sambale, Benjamin

N1 - Funding Information: I thank Gabriel Navarro for some useful comments on this paper. Alexander Hulpke has promptly fixed some bugs in GAP, which were discovered in the course of this work. The anonymous referee has kindly pointed out some typos in a previous version. The work is supported by the German Research Foundation (SA 2864/4-1).

PY - 2023/7

Y1 - 2023/7

N2 - 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.

AB - 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.

KW - Character table

KW - Large degree

KW - Sudoku

UR - http://www.scopus.com/inward/record.url?scp=85157968475&partnerID=8YFLogxK

U2 - 10.1007/s00013-023-01859-w

DO - 10.1007/s00013-023-01859-w

M3 - Article

AN - SCOPUS:85157968475

VL - 121

SP - 23

EP - 32

JO - Archiv der Mathematik

JF - Archiv der Mathematik

SN - 0003-889X

IS - 1

ER -