Blocks with cyclic defect groups

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Under-construction.png

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

  1. See [Li18d,Chapter 11] for a brief history of the development of the subject