Article
| Title: | On a few questions about character codegrees (English) |
| Author: | Li, Jinbao |
| Author: | Yang, Yong |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 4 |
| Year: | 2025 |
| Pages: | 1307-1310 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $G$ be a finite group and $\chi $ be a character of $G$. We define the codegree of $\chi $ to be ${\rm codeg} (\chi ) = |G: {\rm ker}\chi |/ \chi (1)$. We study a few questions raised by Qian about character codegrees. (English) |
| Keyword: | character degree |
| Keyword: | character codegree |
| MSC: | 20C15 |
| DOI: | 10.21136/CMJ.2025.0095-25 |
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| Date available: | 2025-12-20T07:28:04Z |
| Last updated: | 2025-12-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153244 |
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| Reference: | [7] Qian, G.: A character theoretic criterion for a $p$-closed group.Isr. J. Math. 190 (2012), 401-412. Zbl 1264.20011, MR 2956248, 10.1007/s11856-011-0198-y |
| Reference: | [8] Qian, G.: Character codegrees in finite groups.Adv. Math., Beijing 52 (2023), 1-13 Chinese. Zbl 08040762, MR 4574708, 10.11845/sxjz.2021012a |
| Reference: | [9] Qian, G., Wang, Y., Wei, H.: Co-degrees of irreducible characters in finite groups.J. Algebra 312 (2007), 946-955. Zbl 1127.20009, MR 2333193, 10.1016/j.jalgebra.2006.11.001 |
| Reference: | [10] Yang, D., Gao, C., Lv, H.: Finite groups with special codegrees.Arch. Math. 115 (2020), 121-130. Zbl 1528.20011, MR 4118958, 10.1007/s00013-020-01455-2 |
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