Details
| Original language | English |
|---|---|
| Pages (from-to) | 23-32 |
| Number of pages | 10 |
| Journal | Archiv der Mathematik |
| Volume | 121 |
| Issue number | 1 |
| Early online date | 4 May 2023 |
| Publication status | Published - Jul 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.
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Archiv der Mathematik, Vol. 121, No. 1, 07.2023, p. 23-32.
Research output: Contribution to journal › Article › Research › peer review
}
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 -