Details
| Original language | English |
|---|---|
| Pages (from-to) | 170-185 |
| Number of pages | 16 |
| Journal | Journal of algebra |
| Volume | 327 |
| Issue number | 1 |
| Early online date | 13 Nov 2010 |
| Publication status | Published - 1 Feb 2011 |
Abstract
We investigate the separation of irreducible characters by blocks at different primes and the covering of irreducible characters by blocks (viewed as sets of characters); these notions are used to prove results on the group structure. The covering of all characters of a group by principal blocks is only possible when already one principal block suffices or the generalized Fitting subgroup has a very special structure.
Keywords
- Blocks of characters, Covering of characters, Principal blocks, Separation of characters
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 327, No. 1, 01.02.2011, p. 170-185.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Character separation and principal covering
AU - Bessenrodt, Christine
AU - Zhang, Jiping
N1 - Funding Information: ✩ Supported by the Sino-German Center for Research Promotion, National 973 program (2006CB805904) and NSFC (10631010) and RFDP. * Corresponding author. E-mail address: bessen@math.uni-hannover.de (C. Bessenrodt). The authors would like to thank the Sino-German Center for Research Promotion for the support of their collaboration. They would also like to thank the Mathematical Sciences Research Institute at Berkeley for its hospitality and support in the frame of the programs Combinatorial Representation Theory and Representation Theory of Finite Groups and Related Topics where some work towards this article was done. Finally, thanks go also to the referee for a careful reading of the paper.
PY - 2011/2/1
Y1 - 2011/2/1
N2 - We investigate the separation of irreducible characters by blocks at different primes and the covering of irreducible characters by blocks (viewed as sets of characters); these notions are used to prove results on the group structure. The covering of all characters of a group by principal blocks is only possible when already one principal block suffices or the generalized Fitting subgroup has a very special structure.
AB - We investigate the separation of irreducible characters by blocks at different primes and the covering of irreducible characters by blocks (viewed as sets of characters); these notions are used to prove results on the group structure. The covering of all characters of a group by principal blocks is only possible when already one principal block suffices or the generalized Fitting subgroup has a very special structure.
KW - Blocks of characters
KW - Covering of characters
KW - Principal blocks
KW - Separation of characters
UR - http://www.scopus.com/inward/record.url?scp=78649965469&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2010.10.034
DO - 10.1016/j.jalgebra.2010.10.034
M3 - Article
AN - SCOPUS:78649965469
VL - 327
SP - 170
EP - 185
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
IS - 1
ER -