Character table sudokus
Representation Theory
2023-01-30 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.2301.09840,
title = {Character table sudokus},
author = {Benjamin Sambale},
journal= {arXiv preprint arXiv:2301.09840},
year = {2023}
}
Comments
8 pages, typo corrected (thanks to \'Angel del R\'io)