Difference between revisions of "Blocks with cyclic defect groups"
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| − | Blocks with defect groups <math>C_p</math> were studied by Brauer in [[References|[Bra41]]] and the number of irreducible ordiniary and Brauer characters determined. This was extended to arbitrary cyclic <math>p</math>-groups in seminal work [[References|[Da66]]] of Dade. | + | == Background<ref>Partly based on the brief history given in the introduction to [[References|[Li18d,Chapter 11]]]</ref> == |
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| + | Blocks with defect groups <math>C_p</math> were studied by Brauer in [[References|[Bra41]]] and the number of irreducible ordiniary and Brauer characters determined. This was extended to arbitrary cyclic <math>p</math>-groups in seminal work [[References|[Da66]]] of Dade, making use of [[References|[Th67]]]. | ||
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| + | The indecomposable modules for a group with cyclic Sylow <math>p</math>-subgroups were determined by Janusz in [[References|[Ja69]]] and Kupisch in [[References|[Kup69]]]. | ||
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| + | == Notes == | ||
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| + | <references /> | ||
Revision as of 10:07, 22 November 2018
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
- ↑ Partly based on the brief history given in the introduction to [Li18d,Chapter 11]
