Abstract
In this paper, we focus on the structure of p-blocks with defect group satisfying some special condition. These special conditions include: two elements of the defect group are conjugate to each other in defect D if and only if they are conjugate to each other in G; the number of conjugacy classes whose p-part is contained in P by conjugacy is not larger than ∣P∣
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alperin, J., Broué, M., Local methods in block theory, Annals of Mathematics, 1979, 110: 143–157.
Broué, M., Puig, L., A Frobenius theorem for blocks, Inventiones Math., 1980, 56: 117–128.
Broué, M., Puig, L., Characters and local structure in G-algebra, J. Algebra, 1980, 63: 306–317.
Broué, M., Radical, hauteur, p-sections et blocs, Annals of Math., 1978, 107: 89–107.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lizhong, W. The structure of blocks. Sci. China Ser. A-Math. 45, 1578–1581 (2002). https://doi.org/10.1360/02ys9169
Received:
Issue Date:
DOI: https://doi.org/10.1360/02ys9169