Details
| Original language | English |
|---|---|
| Pages (from-to) | 629-644 |
| Number of pages | 16 |
| Journal | Israel journal of mathematics |
| Volume | 234 |
| Issue number | 2 |
| Early online date | 19 Aug 2019 |
| Publication status | Published - Oct 2019 |
| Externally published | Yes |
Abstract
Suppose that H is a finite group and ξ is a not necessarily irreducible character of H. In this note, we study the question of whether or not there exist a finite group G containing H and an irreducible character χ of G such that the restriction of χ to H is ξ. We also investigate some related questions.
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Israel journal of mathematics, Vol. 234, No. 2, 10.2019, p. 629-644.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Irreducible extensions of characters
AU - Isaacs, I. M.
AU - Navarro, Gabriel
AU - Sambale, Benjamin
N1 - Funding Information: The research of the second author is supported by MTM2016-76196-P and Prometeo II/Generalitat Valenciana. The research of the third author is supported by the German Research Foundation (projects SA 2864/1-1 and SA 2864/3-1).
PY - 2019/10
Y1 - 2019/10
N2 - Suppose that H is a finite group and ξ is a not necessarily irreducible character of H. In this note, we study the question of whether or not there exist a finite group G containing H and an irreducible character χ of G such that the restriction of χ to H is ξ. We also investigate some related questions.
AB - Suppose that H is a finite group and ξ is a not necessarily irreducible character of H. In this note, we study the question of whether or not there exist a finite group G containing H and an irreducible character χ of G such that the restriction of χ to H is ξ. We also investigate some related questions.
UR - http://www.scopus.com/inward/record.url?scp=85071079565&partnerID=8YFLogxK
U2 - 10.1007/s11856-019-1921-3
DO - 10.1007/s11856-019-1921-3
M3 - Article
AN - SCOPUS:85071079565
VL - 234
SP - 629
EP - 644
JO - Israel journal of mathematics
JF - Israel journal of mathematics
SN - 0021-2172
IS - 2
ER -