Abstract:The character codegree of an irreducible character of a finite group $G$ is given by the index of its kernel in $G$ upon the character degree. We compute the codegrees of irreducible characters of VZ and Camina $p$-groups, and also obtain the character codegrees set of $p$-groups of order $\leq p^5$, where $p$ is an odd prime.
| Subjects: | Group Theory (math.GR); Representation Theory (math.RT) |
| MSC classes: | 20D15, 20C15, 20B05 |
| Cite as: | arXiv:2605.24864 [math.GR] |
| (or arXiv:2605.24864v1 [math.GR] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24864 arXiv-issued DOI via DataCite (pending registration) |
From: Ayush Udeep [view email]
[v1]
Sun, 24 May 2026 04:49:09 UTC (16 KB)
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