Geodesic
Structure of р-Solvable Groups With Three р-Regular Classes
Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 559-579

Voir la notice de l'article provenant de la source Cambridge University Press

One of the important invariants of a р-block B of a group algebra is l (B), the number of non-isomorphic simple B-modules. A number of authors calculated l (B) for various types of defect groups of B. In particular, by Olsson [6], it has been proved that if p = 2 and the defect groups of the block B are dihedral or semi-dihedral or generalized quaternion, then l (B) is at most 3. In this paper, we restrict our attention to the principal p-block B0 of a finite р-solvable group with l (B0) ≤ 3. Let Γ be a finite р-solvable group and k a splitting field for Γ with characteristic р.
DOI : 10.4153/CJM-1991-034-2
Mots-clés : 20C20, 20D99 
Ninomiya, Yasushi. Structure of р-Solvable Groups With Three р-Regular Classes. Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 559-579. doi: 10.4153/CJM-1991-034-2
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