| Title:
|
Groups with only two nonlinear non-faithful irreducible characters (English) |
| Author:
|
Chen, Xiaoyou |
| Author:
|
Lewis, Mark L. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
69 |
| Issue:
|
2 |
| Year:
|
2019 |
| Pages:
|
427-429 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially. (English) |
| Keyword:
|
non-faithful character |
| Keyword:
|
nonlinear character |
| Keyword:
|
finite group |
| MSC:
|
20C15 |
| idZBL:
|
Zbl 07088795 |
| idMR:
|
MR3959955 |
| DOI:
|
10.21136/CMJ.2017.0348-17 |
| . |
| Date available:
|
2019-05-24T08:58:42Z |
| Last updated:
|
2021-07-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147735 |
| . |
| Reference:
|
[1] Iranmanesh, A., Saeidi, A.: Finite groups with a unique nonlinear nonfaithful irreducible character.Arch. Math., Brno 47 (2011), 91-98. Zbl 1249.20009, MR 2813535 |
| Reference:
|
[2] Li, Y., Chen, X., Li, H.: Finite $p$-groups with exactly two nonlinear non-faithful irreducible characters.To appear in Czech. Math. J. MR 3923582 |
| Reference:
|
[3] Saeidi, A.: Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character.Cent. Eur. J. Math. 12 (2014), 79-83. Zbl 1287.20013, MR 3121823, 10.2478/s11533-013-0327-4 |
| Reference:
|
[4] Seitz, G.: Finite groups having only one irreducible representation of degree greater than one.Proc. Am. Math. Soc. 19 (1968), 459-461. Zbl 0244.20010, MR 0222160, 10.1090/S0002-9939-1968-0222160-X |
| Reference:
|
[5] Zhang, G.: Finite groups with exactly two nonlinear irreducible characters.Chin. Ann. Math., Ser. A 17 (1996), 227-232 Chinese. Zbl 0856.20008, MR 1397112 |
| . |
