Details
| Original language | English |
|---|---|
| Number of pages | 9 |
| Journal | Archiv der Mathematik |
| Volume | 89 |
| Issue number | 1 |
| Early online date | 19 Mar 2007 |
| Publication status | Published - Jun 2007 |
Abstract
Starting from the question when all irreducible p-Brauer characters for a symmetric or an alternating group are of p-power degree, we classify the p-modular irreducible representations of p-power dimension in some families of representations for these groups. In particular, this then allows to confirm a conjecture by W. Willems for the alternating groups.
Keywords
- Alternating groups, Irreducible Brauer characters, Irreducible p-modular representations, P-power degree, Symmetric groups
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Archiv der Mathematik, Vol. 89, No. 1, 06.2007.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Irreducible p-Brauer characters of p-power degree for the symmetric and alternating groups
AU - Bessenrodt, Christine
N1 - Funding Information: Acknowledgement. The author would like to thank Prof. J. Zhang for the hospitality enjoyed during a visit at Peking University when part of the work for this article was done; the support of this stay by the Sino-German Center for Research Promotion in Beijing is also gratefully acknowledged.
PY - 2007/6
Y1 - 2007/6
N2 - Starting from the question when all irreducible p-Brauer characters for a symmetric or an alternating group are of p-power degree, we classify the p-modular irreducible representations of p-power dimension in some families of representations for these groups. In particular, this then allows to confirm a conjecture by W. Willems for the alternating groups.
AB - Starting from the question when all irreducible p-Brauer characters for a symmetric or an alternating group are of p-power degree, we classify the p-modular irreducible representations of p-power dimension in some families of representations for these groups. In particular, this then allows to confirm a conjecture by W. Willems for the alternating groups.
KW - Alternating groups
KW - Irreducible Brauer characters
KW - Irreducible p-modular representations
KW - P-power degree
KW - Symmetric groups
UR - http://www.scopus.com/inward/record.url?scp=34547289859&partnerID=8YFLogxK
U2 - 10.1007/s00013-006-2088-9
DO - 10.1007/s00013-006-2088-9
M3 - Article
AN - SCOPUS:34547289859
VL - 89
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 1
ER -