Difference between revisions of "Blocks with cyclic defect groups"
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| − | == Background<ref> | + | == Background<ref>See [[References|[Li18d,Chapter 11]]] for a brief history of the development of the subject</ref> == |
| − | Blocks with defect groups <math>C_p</math> were studied by Brauer in [[References|[Bra41]]] | + | Blocks with defect groups <math>C_p</math> were studied by Brauer in [[References|[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 [[References|[Da66]]] of Dade, making use of [[References|[Th67]]]. |
| − | The indecomposable modules for a | + | The indecomposable modules for a block with cyclic defect groups were determined by Janusz in [[References|[Ja69]]] and Kupisch in [[References|[Kup69]]]. |
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| + | The source algebras of blocks with cyclic defect groups were determined by Linckelmann in [[References|[Li96]]]. | ||
Latest revision as of 10:16, 22 November 2018
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
