Details
| Original language | English |
|---|---|
| Pages (from-to) | 485-495 |
| Number of pages | 11 |
| Journal | Advances in mathematics |
| Volume | 218 |
| Issue number | 2 |
| Early online date | 7 Feb 2008 |
| Publication status | Published - 1 Jun 2008 |
Abstract
We investigate the separation of characters by blocks at different primes and the inclusions of q-blocks in p-blocks (viewed as sets of characters), and use these notions to prove results on the structure of the corresponding groups. In particular, we provide a new criterion for the nilpotence of a finite group G based on the separation by principal blocks, and we show that a condition on block unions has strong structural consequences.
Keywords
- Block inclusions, Blocks, Characters, Nilpotent groups, p-nilpotent groups, Principal blocks, Separation of characters
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Advances in mathematics, Vol. 218, No. 2, 01.06.2008, p. 485-495.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Block separations and inclusions
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). * Corresponding author. E-mail address: bessen@math.uni-hannover.de (C. Bessenrodt).
PY - 2008/6/1
Y1 - 2008/6/1
N2 - We investigate the separation of characters by blocks at different primes and the inclusions of q-blocks in p-blocks (viewed as sets of characters), and use these notions to prove results on the structure of the corresponding groups. In particular, we provide a new criterion for the nilpotence of a finite group G based on the separation by principal blocks, and we show that a condition on block unions has strong structural consequences.
AB - We investigate the separation of characters by blocks at different primes and the inclusions of q-blocks in p-blocks (viewed as sets of characters), and use these notions to prove results on the structure of the corresponding groups. In particular, we provide a new criterion for the nilpotence of a finite group G based on the separation by principal blocks, and we show that a condition on block unions has strong structural consequences.
KW - Block inclusions
KW - Blocks
KW - Characters
KW - Nilpotent groups
KW - p-nilpotent groups
KW - Principal blocks
KW - Separation of characters
UR - http://www.scopus.com/inward/record.url?scp=41049117020&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2007.12.010
DO - 10.1016/j.aim.2007.12.010
M3 - Article
AN - SCOPUS:41049117020
VL - 218
SP - 485
EP - 495
JO - Advances in mathematics
JF - Advances in mathematics
SN - 0001-8708
IS - 2
ER -