The green correspondents of the Mathieu group M-12 in characteristic 3

Authors
Koshitani, S Waki, K
Citation
S. Koshitani et K. Waki, The green correspondents of the Mathieu group M-12 in characteristic 3, COMM ALGEB, 27(1), 1999, pp. 37-66
Citations number
15
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
27
Issue
1
Year of publication
1999
Pages
37 - 66
Database
ISI
SICI code
0092-7872(1999)27:1<37:TGCOTM>2.0.ZU;2-E
Abstract
Let FM12 be the group algebra of the Mathieu group M-12 over an algebraical ly closed field of characteristic 3. Then the Loewy and socle series of the Green correspondents of all simple (irreducible) FM12-modules with respect to the normalizers of their vertices are determined without using computer s.