On blocks with cyclic defect group and their head orders

2003/11/04 by Gabriele Nebe, Nebe, Gabriele
Business, Management and Accounting · Engineering · Mathematics · #20C11 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Engineering Diagnostics and Reliability #FOS: Mathematics #Optics and Image Analysis #Representation Theory (math.RT) #math.RT #msc:20C11

paper · pdf · doi:10.48550/arxiv.math/0311044

arxiv created 2003/11/04 · openalex publication_date 2003/11/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that Section 8 of Plesken's 1983 lecture notes describes blocks of cyclic defect group up to Morita equivalence. In particular such a block is determined by its planar embedded Brauer tree. Applying the radical idealizer process, the head order of such blocks is calculated explicitly.

Related

• Blocks of profinite groups with cyclic defect group
• Brauer's problem 21 for principal blocks
• Trivial source characters in blocks with cyclic defect groups
• The Brauer trees of unipotent blocks
• The classification of the trivial source modules in blocks with cyclic\n defect groups