Details
| Original language | English |
|---|---|
| Pages (from-to) | 339-368 |
| Number of pages | 30 |
| Journal | Journal of algebra |
| Volume | 472 |
| Publication status | Published - 15 Feb 2017 |
| Externally published | Yes |
Abstract
Let G be a finite group, and let B be a non-nilpotent block of G with respect to an algebraically closed field of characteristic 2. Suppose that B has an elementary abelian defect group of order 16 and only one simple module. The main result of this paper describes the algebra structure of the center of B. This is motivated by a similar analysis of a certain 3-block of defect 2 in Kessar (2012) [15].
Keywords
- Abelian defect, Center of block algebra, One Brauer character
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
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In: Journal of algebra, Vol. 472, 15.02.2017, p. 339-368.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On centers of blocks with one simple module
AU - Landrock, Pierre
AU - Sambale, Benjamin
N1 - Funding information: The second author is supported by the German Research Foundation (project SA 2864/1-1) and the Daimler and Benz Foundation (project 32-08/13). Parts of this work will contribute the first author's PhD thesis which he currently writes under the supervision of Burkhard Külshammer.
PY - 2017/2/15
Y1 - 2017/2/15
N2 - Let G be a finite group, and let B be a non-nilpotent block of G with respect to an algebraically closed field of characteristic 2. Suppose that B has an elementary abelian defect group of order 16 and only one simple module. The main result of this paper describes the algebra structure of the center of B. This is motivated by a similar analysis of a certain 3-block of defect 2 in Kessar (2012) [15].
AB - Let G be a finite group, and let B be a non-nilpotent block of G with respect to an algebraically closed field of characteristic 2. Suppose that B has an elementary abelian defect group of order 16 and only one simple module. The main result of this paper describes the algebra structure of the center of B. This is motivated by a similar analysis of a certain 3-block of defect 2 in Kessar (2012) [15].
KW - Abelian defect
KW - Center of block algebra
KW - One Brauer character
UR - http://www.scopus.com/inward/record.url?scp=85004009685&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2016.10.046
DO - 10.1016/j.jalgebra.2016.10.046
M3 - Article
AN - SCOPUS:85004009685
VL - 472
SP - 339
EP - 368
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -