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 -