Blocks with cyclic defect groups
Revision as of 11:16, 22 November 2018 by Charles Eaton (talk | contribs)
Background[1]
Blocks with defect groups [math]C_p[/math] were studied by Brauer in [Bra41], where the number of irreducible ordinary and Brauer characters determined, and what is now called the Brauer tree introduced. Brauer's work was extended to arbitrary cyclic [math]p[/math]-groups in seminal work [Da66] of Dade, making use of [Th67].
The indecomposable modules for a block with cyclic defect groups were determined by Janusz in [Ja69] and Kupisch in [Kup69].
The source algebras of blocks with cyclic defect groups were determined by Linckelmann in [Li96].
Notes
- ↑ See [Li18d,Chapter 11] for a brief history of the development of the subject
