Details
| Original language | English |
|---|---|
| Article number | 1750078 |
| Journal | Journal of Algebra and its Applications |
| Volume | 16 |
| Issue number | 4 |
| Publication status | Published - 1 Apr 2017 |
| Externally published | Yes |
Abstract
Let B be a block with abelian defect group D of a quasisimple group G, such that G/Z(G) has exceptional Schur multiplier. We show that, B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. The proof uses methods from a previous paper [B. Sambale, Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Internat. J. Algebra Comput. 25 (2015) 951-976], and relies ultimately on computer calculations. Moreover, we verify the Alperin-McKay conjecture for all blocks of G.
Keywords
- Alperin-McKay, Broué's conjecture, Exceptional Schur multiplier, Isotypies
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Applied Mathematics
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In: Journal of Algebra and its Applications, Vol. 16, No. 4, 1750078, 01.04.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Isotypies for the quasisimple groups with exceptional Schur multiplier
AU - Sambale, Benjamin
N1 - Publisher Copyright: © 2017 World Scientific Publishing Company.
PY - 2017/4/1
Y1 - 2017/4/1
N2 - Let B be a block with abelian defect group D of a quasisimple group G, such that G/Z(G) has exceptional Schur multiplier. We show that, B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. The proof uses methods from a previous paper [B. Sambale, Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Internat. J. Algebra Comput. 25 (2015) 951-976], and relies ultimately on computer calculations. Moreover, we verify the Alperin-McKay conjecture for all blocks of G.
AB - Let B be a block with abelian defect group D of a quasisimple group G, such that G/Z(G) has exceptional Schur multiplier. We show that, B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. The proof uses methods from a previous paper [B. Sambale, Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups, Internat. J. Algebra Comput. 25 (2015) 951-976], and relies ultimately on computer calculations. Moreover, we verify the Alperin-McKay conjecture for all blocks of G.
KW - Alperin-McKay
KW - Broué's conjecture
KW - Exceptional Schur multiplier
KW - Isotypies
UR - http://www.scopus.com/inward/record.url?scp=84966774649&partnerID=8YFLogxK
U2 - 10.1142/s0219498817500785
DO - 10.1142/s0219498817500785
M3 - Article
AN - SCOPUS:84966774649
VL - 16
JO - Journal of Algebra and its Applications
JF - Journal of Algebra and its Applications
SN - 0219-4988
IS - 4
M1 - 1750078
ER -