Details
| Original language | English |
|---|---|
| Pages (from-to) | 951-976 |
| Number of pages | 26 |
| Journal | International Journal of Algebra and Computation |
| Volume | 25 |
| Issue number | 6 |
| Publication status | Published - 1 Sept 2015 |
Abstract
Let B be a p-block of a finite group G with abelian defect group D such that S & G ; Aut(S), S′ = S and S/Z(S) is a sporadic simple group. We show that B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. This has been done by Rouquier for principal blocks and it remains to deal with the non-principal blocks.
Keywords
- Broué's Abelian defect group conjecture, isotypies, sporadic groups
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: International Journal of Algebra and Computation, Vol. 25, No. 6, 01.09.2015, p. 951-976.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups
AU - Sambale, Benjamin
N1 - Funding information: This work is supported by the German Research Foundation and the Daimler and Benz Foundation. The author thanks Jianbei An, Jürgen Müller and Raphaël Rouquier for answering some questions.
PY - 2015/9/1
Y1 - 2015/9/1
N2 - Let B be a p-block of a finite group G with abelian defect group D such that S & G ; Aut(S), S′ = S and S/Z(S) is a sporadic simple group. We show that B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. This has been done by Rouquier for principal blocks and it remains to deal with the non-principal blocks.
AB - Let B be a p-block of a finite group G with abelian defect group D such that S & G ; Aut(S), S′ = S and S/Z(S) is a sporadic simple group. We show that B is isotypic to its Brauer correspondent in NG(D) in the sense of Broué. This has been done by Rouquier for principal blocks and it remains to deal with the non-principal blocks.
KW - Broué's Abelian defect group conjecture
KW - isotypies
KW - sporadic groups
UR - http://www.scopus.com/inward/record.url?scp=84942984624&partnerID=8YFLogxK
U2 - 10.1142/S0218196715500277
DO - 10.1142/S0218196715500277
M3 - Article
AN - SCOPUS:84942984624
VL - 25
SP - 951
EP - 976
JO - International Journal of Algebra and Computation
JF - International Journal of Algebra and Computation
SN - 0218-1967
IS - 6
ER -