Blocks with cyclic defect groups - Revision history

Charles Eaton at 10:16, 22 November 2018

2018-11-22T10:16:42Z

2018-11-22T09:07:49Z

2018-11-21T22:10:30Z

2018-09-24T07:22:11Z

Created page with "This page will contain an overview on blocks with cyclic defect groups."

New page

This page will contain an overview on blocks with cyclic defect groups.

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 [[Image:under-construction.png|50px|left]]
-== Background<ref>Partly based on the brief history given in the introduction to [[References|[Li18d,Chapter 11]]]</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]]] 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]]].
+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 group with cyclic Sylow <math>p</math>-subgroups were determined by Janusz in [[References|[Ja69]]] and Kupisch in [[References|[Kup69]]].
+The indecomposable modules for a block with cyclic defect groups were determined by Janusz in [[References|[Ja69]]] and Kupisch in [[References|[Kup69]]].

← Older revision		Revision as of 09:07, 22 November 2018
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	[[Image:under-construction.png\|50px\|left]]		[[Image:under-construction.png\|50px\|left]]

−	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> ==
		+
		+	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]]].
		+
		+	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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		+
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		+	== Notes ==
		+
		+	<references />

← Older revision		Revision as of 22:10, 21 November 2018
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−	This ~~page will contain an overview on blocks with~~ cyclic ~~defect~~ groups.	+	[[Image:under-construction.png\|50px\|left]]
		+
		+	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.