| Title:
|
Finite groups with two rows which differ in only one entry in character tables (English) |
| Author:
|
Wang, Wenyang |
| Author:
|
Du, Ni |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
655-662 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $G$ be a finite group. If $G$ has two rows which differ in only one entry in the character table, we call $G$ an RD1-group. We investigate the character tables of RD1-groups and get some necessary and sufficient conditions about RD1-groups. (English) |
| Keyword:
|
finite group |
| Keyword:
|
irreducible character |
| Keyword:
|
character table |
| MSC:
|
20C15 |
| idZBL:
|
07396189 |
| idMR:
|
MR4295237 |
| DOI:
|
10.21136/CMJ.2021.0482-19 |
| . |
| Date available:
|
2021-08-02T08:01:46Z |
| Last updated:
|
2023-10-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149048 |
| . |
| Reference:
|
[1] Bianchi, M., Herzog, M.: Finite groups with non-trivial intersections of kernels of all but one irreducible characters.Int. J. Group Theory 7 (2018), 63-80. Zbl 1446.20015, MR 3757269, 10.22108/ijgt.2017.21609 |
| Reference:
|
[2] Chillag, D.: On zeros of characters of finite groups.Proc. Am. Math. Soc. 127 (1999), 977-983. Zbl 0917.20007, MR 1487363, 10.1090/S0002-9939-99-04790-5 |
| Reference:
|
[3] S. M. Gagola, Jr.: Characters vanishing on all but two conjugacy classes.Pac. J. Math. 109 (1983), 363-385. Zbl 0536.20005, MR 721927, 10.2140/pjm.1983.109.363 |
| Reference:
|
[4] Grove, L. C.: Groups and Characters.Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts. John Wiley & Sons, New York (1997). Zbl 0896.20001, MR 1451623, 10.1002/9781118032688 |
| Reference:
|
[5] Isaacs, I. M.: Character Theory of Finite Groups.Academic Press, New York (1976). Zbl 0337.20005, MR 0460423, 10.1090/chel/359 |
| Reference:
|
[6] James, G., Liebeck, M.: Representations and Characters of Groups.Cambridge University Press, New York (2001). Zbl 0981.20004, MR 1864147, 10.1017/CBO9780511814532 |
| . |
