Details
| Original language | English |
|---|---|
| Pages (from-to) | 1357-1384 |
| Number of pages | 28 |
| Journal | Algebra and Number Theory |
| Volume | 11 |
| Issue number | 6 |
| Publication status | Published - 2017 |
| Externally published | Yes |
Abstract
We propose upper bounds for the number of modular constituents of the restriction modulo p of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.
Keywords
- Decomposition numbers, Defect of characters, Heights of characters
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Algebra and Number Theory, Vol. 11, No. 6, 2017, p. 1357-1384.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On defects of characters and decomposition numbers
AU - Malle, Gunter
AU - Navarro, Gabriel
AU - Sambale, Benjamin
N1 - Funding information: Malle gratefully acknowledges financial support by ERC Advanced Grant 291512. Navarro is partially supported by the Spanish Ministerio de Educación y Ciencia Proyectos MTM2016-76196-P and Prometeo II/Generalitat Valenciana. Sambale thanks the German Research Foundation SA 2864/1-1 and Daimler Benz Foundation 32-08/13. This work begun when Malle and Navarro were visiting the CIB in Lausanne. We would like to thank the institute for its hospitality. MSC2010: primary 20C20; secondary 20C33. Keywords: decomposition numbers, defect of characters, heights of characters.
PY - 2017
Y1 - 2017
N2 - We propose upper bounds for the number of modular constituents of the restriction modulo p of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.
AB - We propose upper bounds for the number of modular constituents of the restriction modulo p of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.
KW - Decomposition numbers
KW - Defect of characters
KW - Heights of characters
UR - http://www.scopus.com/inward/record.url?scp=85028062062&partnerID=8YFLogxK
U2 - 10.2140/ant.2017.11.1357
DO - 10.2140/ant.2017.11.1357
M3 - Article
AN - SCOPUS:85028062062
VL - 11
SP - 1357
EP - 1384
JO - Algebra and Number Theory
JF - Algebra and Number Theory
SN - 1937-0652
IS - 6
ER -