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] and the number of irreducible ordiniary and Brauer characters determined. This was extended to arbitrary cyclic [math]p[/math]-groups in seminal work [Da66] of Dade, making use of [Th67].

The indecomposable modules for a group with cyclic Sylow [math]p[/math]-subgroups were determined by Janusz in [Ja69] and Kupisch in [Kup69].


Notes

  1. Partly based on the brief history given in the introduction to [Li18d,Chapter 11]