Charles Eaton: Created page with "__NOTITLE__ == Blocks with defect group

C_9 \times C_3

== left '''

CLASSIFICATION INCOMPLETE

..."

2019-01-10T15:45:11Z

Created page with "__NOTITLE__ == Blocks with defect group <math>C_9 \times C_3</math> == 50px|left '''<pre style="color: red">CLASSIFICATION INCOMPLETE</pre>..."

New page

__NOTITLE__

== Blocks with defect group <math>C_9 \times C_3</math> ==

[[Image:under-construction.png|50px|left]]

'''<pre style="color: red">CLASSIFICATION INCOMPLETE</pre>'''

{| class="wikitable"
|-
! scope="col"| Class
! scope="col"| Representative
! scope="col"| [[Glossary|# lifts / <math>\mathcal{O}</math>]]
! scope="col"| <math>k(B)</math>
! scope="col"| <math>l(B)</math>
! scope="col"| Inertial quotients
! scope="col"| <math>{\rm Pic}_\mathcal{O}(B)</math>
! scope="col"| <math>{\rm Pic}_k(B)</math>
! scope="col"| <math>{\rm mf_\mathcal{O}(B)}</math>
! scope="col"| <math>{\rm mf_k(B)}</math>
! scope="col"| Notes

|-
|[[M(27,2,1)]] || <math>k(C_9 \times C_3)</math> || 1 ||27 ||1 ||<math>1</math> || || ||1 ||1 ||
|-
|[[M(27,2,2)]] || <math>k((C_9 \times C_3):C_2)</math> || ||15 ||2 ||<math>C_2</math> || || ||1 ||1 || Simultaneously inverting elements of <math>C_9</math> and <math>C_3</math>
|-
|[[M(27,2,3)]] || <math>k(D_{18} \times C_3)</math> || ||18 ||2 ||<math>C_2</math> || || ||1 ||1 ||
|-
|[[M(27,2,4)]] || <math>B_0(k(SL_2(8) \times C_3))</math> || ||18 ||2 ||<math>C_2</math> || || ||1 ||1 ||
|-
|[[M(27,2,5)]] || <math>k(C_9 \times S_3)</math> || ||27 ||2 ||<math>C_2</math> || || ||1 ||1 ||
|-
|[[M(27,2,6)]] || <math>k(D_{18} \times S_3)</math> || ||18 ||4 ||<math>C_2 \times C_2</math> || || ||1 ||1 ||
|-
|[[M(27,2,7)]] || <math>B_0(k(SL_2(8) \times S_3))</math> || ||18 ||4 ||<math>C_2 \times C_2</math> || || ||1 ||1 ||
|}

C9xC3 - Revision history

Charles Eaton: Created page with "NOTITLE == Blocks with defect group $C_9 \times C_3$ == left '''
CLASSIFICATION INCOMPLETE
..."

C9xC3 - Revision history

Charles Eaton: Created page with "__NOTITLE__ == Blocks with defect group C_9 \times C_3 == left '''CLASSIFICATION INCOMPLETE..."

Charles Eaton: Created page with "NOTITLE == Blocks with defect group $C_9 \times C_3$ == left '''
CLASSIFICATION INCOMPLETE
..."