Difference between revisions of "Classification by p-group"

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(Q8 lifts)
(Blocks for p=2)
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|16 || [[SmallGroup(16,3)|3]] || [[SmallGroup(16,3)]] || || || || [[References|[Sa11] ]] || Block invariants known
 
|16 || [[SmallGroup(16,3)|3]] || [[SmallGroup(16,3)]] || || || || [[References|[Sa11] ]] || Block invariants known
 
|-
 
|-
|16 || [[C4:C4|4]] || [[C4:C4|<math>C_4:C_4</math>]] || || || || [[References|[Sa12] ]] || Block invariants known
+
|16 || [[C4:C4|4]] || [[C4:C4|<math>C_4:C_4</math>]] || 1(1) || <math>\mathcal{O}</math> || <math>\mathcal{O}</math> || [[References|[Sa12b] ]] ||
 
|-
 
|-
 
|16 || [[C8xC2|5]] || [[C8xC2|<math>C_8 \times C_2</math>]] || 1(1) || <math>\mathcal{O}</math> || <math>\mathcal{O}</math> || ||
 
|16 || [[C8xC2|5]] || [[C8xC2|<math>C_8 \times C_2</math>]] || 1(1) || <math>\mathcal{O}</math> || <math>\mathcal{O}</math> || ||
 
|-
 
|-
|16 || [[M16|6]] || [[M16|<math>M_{16}</math>]] || || || || [[References|[Sa12b] ]] || Block invariants known
+
|16 || [[M16|6]] || [[M16|<math>M_{16}</math>]] || 1(1) || <math>\mathcal{O}</math> || <math>\mathcal{O}</math> || [[References|[Sa12b] ]] ||  
 
|-
 
|-
 
|16 || [[D16|7]] || [[D16|<math>D_{16}</math>]] || || || || ||
 
|16 || [[D16|7]] || [[D16|<math>D_{16}</math>]] || || || || ||

Revision as of 06:39, 5 October 2018

Classification of Morita equivalences for blocks with a given defect group

On this page we list classifications of Morita equivalence classes for each isomorphism class of p-groups in turn. Generic classifications for classes of p-groups can be found here.

See this page for a description of the labelling conventions.

Blocks of defect zero

Blocks for [math] p=2 [/math]

Blocks for [math]p=3[/math]

Blocks for [math]p=5[/math]

Blocks for [math]p\geq 7[/math]