Difference between revisions of "3 +^3"
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|[[M(27,3,1)]] || <math>k3_+^{1+2}</math> || 1 ||11 ||1 ||<math>1</math> || || ||1 ||1 || | |[[M(27,3,1)]] || <math>k3_+^{1+2}</math> || 1 ||11 ||1 ||<math>1</math> || || ||1 ||1 || | ||
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| + | |[[M(27,3,2)]] || <math>k((C_3 \times C_3):C_6)</math> || ||10 ||2 ||<math>C_2</math> || || ||1 ||1 || SmallGroup(54,5) | ||
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| + | |[[M(27,3,3)]] || <math>k(3_+^{1+2}:C_2)</math> || ||10 ||2 ||<math>C_2</math> || || ||1 ||1 || SmallGroup(54,8) | ||
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Revision as of 16:14, 21 January 2019
Blocks with defect group [math]3_+^{1+2}[/math]
CLASSIFICATION INCOMPLETE
| Class | Representative | # lifts / [math]\mathcal{O}[/math] | [math]k(B)[/math] | [math]l(B)[/math] | Inertial quotients | [math]{\rm Pic}_\mathcal{O}(B)[/math] | [math]{\rm Pic}_k(B)[/math] | [math]{\rm mf_\mathcal{O}(B)}[/math] | [math]{\rm mf_k(B)}[/math] | Notes |
|---|---|---|---|---|---|---|---|---|---|---|
| M(27,3,1) | [math]k3_+^{1+2}[/math] | 1 | 11 | 1 | [math]1[/math] | 1 | 1 | |||
| M(27,3,2) | [math]k((C_3 \times C_3):C_6)[/math] | 10 | 2 | [math]C_2[/math] | 1 | 1 | SmallGroup(54,5) | |||
| M(27,3,3) | [math]k(3_+^{1+2}:C_2)[/math] | 10 | 2 | [math]C_2[/math] | 1 | 1 | SmallGroup(54,8) |
