TY - JOUR

T1 - Blocks with transitive fusion systems

AU - Héthelyi, László

AU - Kessar, Radha

AU - Külshammer, Burkhard

AU - Sambale, Benjamin

N1 - Funding information: The first author gratefully acknowledges support by the Hungarian National Science Foundation Research No. 77476 . The third author gratefully acknowledges support by the DFG ( SPP 1388 ). The fourth author gratefully acknowledges support by the Carl Zeiss Foundation and the Daimler and Benz Foundation . All authors thank the anonymous referee for many valuable corrections and suggestions.

PY - 2015/2/5

Y1 - 2015/2/5

N2 - Suppose that all nontrivial subsections of a p-block B are conjugate (where p is a prime). By using the classification of the finite simple groups, we prove that the defect groups of B are either extraspecial of order p3 with p∈{3, 5} or elementary abelian.

AB - Suppose that all nontrivial subsections of a p-block B are conjugate (where p is a prime). By using the classification of the finite simple groups, we prove that the defect groups of B are either extraspecial of order p3 with p∈{3, 5} or elementary abelian.

KW - Block

KW - Defect group

KW - Fusion system

KW - Primary

KW - Secondary

UR - http://www.scopus.com/inward/record.url?scp=84916898420&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2014.10.042

DO - 10.1016/j.jalgebra.2014.10.042

M3 - Article

AN - SCOPUS:84916898420

VL - 424

SP - 190

EP - 207

JO - Journal of algebra

JF - Journal of algebra

SN - 0021-8693

ER -