Character table sudokus

authored by

Benjamin Sambale

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Archiv der Mathematik

Volume

121

Pages

23-32

No. of pages

10

ISSN

0003-889X

Publication date

07.2023

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://doi.org/10.1007/s00013-023-01859-w (Access: Open)