Details
Original language | English |
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Pages (from-to) | 2405-2421 |
Number of pages | 17 |
Journal | Journal of algebra |
Volume | 320 |
Issue number | 6 |
Early online date | 10 Jun 2008 |
Publication status | Published - 15 Sept 2008 |
Abstract
We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.
Keywords
- Alternating groups, Blocks, Irreducible Brauer characters, Prime power degrees, Symmetric groups
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 320, No. 6, 15.09.2008, p. 2405-2421.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree
AU - Bessenrodt, Christine
AU - Weber, Heike
N1 - Funding Information: The first author would like to thank Prof. J. Zhang for the hospitality enjoyed during a visit at Peking University when the final work on this article was done; the support of this stay by the Sino-German Center for Research Promotion in Beijing is also gratefully acknowledged.
PY - 2008/9/15
Y1 - 2008/9/15
N2 - We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.
AB - We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.
KW - Alternating groups
KW - Blocks
KW - Irreducible Brauer characters
KW - Prime power degrees
KW - Symmetric groups
UR - http://www.scopus.com/inward/record.url?scp=48649095531&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2008.04.029
DO - 10.1016/j.jalgebra.2008.04.029
M3 - Article
AN - SCOPUS:48649095531
VL - 320
SP - 2405
EP - 2421
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
IS - 6
ER -