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Create the page "M(16,8,4)" on this wiki! See also the search results found.

  • Generic classifications by p-group class
    Let <math>l,m,n,r \geq 2</math> be distinct. | <strong><math>rk_2(D) \leq 4</math> &nbsp;</strong>
    11 KB (1,772 words) - 12:15, 9 January 2024
  • M(8,2,1)
    |title = M(8,2,1) - <math>k(C_4 \times C_2)</math> |image = M(4,2,1)quiver.png
    2 KB (187 words) - 12:33, 1 November 2018
  • M(8,5,3)
    |title = M(8,5,3) - <math>k(A_4 \times C_2)</math> |image = M(8,5,3)quiver.png
    3 KB (344 words) - 22:07, 5 December 2018
  • C7
    ...| 1 ||7 ||1 ||<math>1</math> || <math>C_7:C_6</math> || ||1 ||1 || [[Image:M(7,1,1)tree.png|45px]] ...|2 ||<math>C_2</math> || <math>C_2 \times C_3</math> || ||1 ||1 || [[Image:M(7,1,2)tree.png|45px]]
    4 KB (465 words) - 12:58, 22 November 2018
  • Blocks with basic algebras of low dimension
    == Blocks with basic algebras of dimension at most 16 == ...ale in [[References#B|[BS23]]] gave a classification for dimensions 15 and 16, except for one unsettled case of a block with defect group <math>C_{13}</m
    4 KB (528 words) - 14:33, 13 December 2023
  • M(8,5,7)
    |title = M(8,5,7) - <math>B_0(kJ_1)</math> |image = M(8,5,7)quiver.png
    3 KB (241 words) - 10:10, 5 June 2019
  • (C2)^4
    == Blocks with defect group <math>(C_2)^4</math> == ...] || <math>k((C_2)^4)</math> || 1 ||16 ||1 ||<math>1</math> || <math>(C_2)^4:GL_4(2)</math> || ||1 ||1 ||
    4 KB (524 words) - 18:39, 9 December 2019
  • C4xC4
    ...s C_4</math> is SmallGroup(96,195), which has isomorphism type <math>(C_2)^4:S_3</math>. |[[M(16,2,1)]] || <math>k(C_4 \times C_4)</math> || 1 ||16 ||1 ||<math>1</math> ||<math>(C_4 \times C_4):({\rm Aut}(C_4 \times C_4))</
    1 KB (167 words) - 08:13, 4 June 2019
  • M(16,2,2)
    |title = M(16,2,2) - <math>k((C_4 \times C_4):C_3)</math> |image = M(4,2,3)quiver.png
    2 KB (237 words) - 10:57, 28 July 2019
  • C4:C4
    |[[M(16,4,1)]] || <math>k(C_4:C_4)</math> || 1 ||10 (8,2) ||1 ||<math>1</math> || || ||1 ||1 ||
    955 bytes (142 words) - 17:05, 28 January 2019
  • C3xC3
    ...ontain non-principal blocks. Some Picard groups calculated in [[References#M|[Mar]]]. |[[M(9,2,1)]] || <math>k(C_3 \times C_3)</math> || 1 ||9 ||1 ||<math>1</math> ||
    6 KB (781 words) - 10:45, 24 May 2022
  • SD16
    == Blocks with defect group <math>SD_{16}</math> == ...ferences|[Er88c], [Er90b]]]). Further work was carried out in [[References#M|[Mac]]], where <math>SD(3 {\cal H})</math> was eliminated, and the block <m
    3 KB (385 words) - 14:34, 4 August 2022
  • Q16
    == Blocks with defect group <math>Q_{16}</math> == ...sed by blocks, and as such Donovan's conjecture is still open for <math>Q_{16}</math> for blocks with two simple modules. Until this is resolved the labe
    3 KB (368 words) - 12:43, 26 November 2018
  • Q8xC2
    |[[M(16,9,1)]] || <math>kSD_{16}</math> || 1 ||7 ||1 ||<math>1</math> || || || ||1 || ...{S}_5)</math><ref>This is the double cover SmallGroup(240,89)</ref> || ? ||8 ||2 ||<math>1</math> || || || ||1 || <math>Q(2 {\cal A})</math>
    2 KB (303 words) - 23:31, 15 August 2020
  • M(16,10,2)
    |title = M(16,10,2) - <math>B_0(k(C_4 \times A_5))</math> |image = M(8,5,2)quiver.png
    2 KB (254 words) - 09:31, 5 December 2018
  • M(16,10,3)
    |title = M(16,10,3) - <math>k(C_4 \times A_4)</math> |image = M(8,5,3)quiver.png
    2 KB (220 words) - 23:47, 18 December 2018
  • MNA(2,2)
    == Blocks with defect group <math>MNA(2,2)=\langle x,y|x^4=y^4=[x,y]^2=[x,[x,y]]=[y,[x,y]]=1 \rangle</math> == |[[M(32,2,1)]] || <math>k(MNA(2,2))</math> || 1 ||20 (16,4) ||1 ||<math>1</math> || || ||1 ||1 ||
    938 bytes (132 words) - 16:46, 28 January 2019
  • (C2)^5
    |[[M(32,51,1)]] || <math>k((C_2)^5)</math> || 1 ||32 ||1 ||<math>1</math> || <ma |[[M(32,51,2)]] || <math>k(A_4 \times (C_2)^3)</math> || 1 ||32 ||3 ||<math>C_3<
    6 KB (825 words) - 10:18, 17 May 2022
  • M(16,3,3)
    |title = M(16,3,3) - <math>k(A_4:C_4)</math><ref><math>A_4:C_4</math> is SmallGroup(48,30 8 & 4 \\
    2 KB (166 words) - 10:56, 15 August 2019
  • M(16,14,1)
    |title = M(16,14,1) - <math>k((C_2)^4)</math> |representative = <math>k((C_2)^4)</math>
    2 KB (226 words) - 15:42, 28 November 2019
  • M(16,14,2)
    |title = M(16,14,2) - <math>k(C_2 \times C_2 \times A_5)</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    2 KB (301 words) - 14:48, 27 November 2019
  • M(16,14,4)
    |title = M(16,14,4) - <math>k((C_2)^4 : C_3)</math> |representative = <math>k((C_2)^4 : C_3)</math>
    2 KB (286 words) - 15:07, 27 November 2019
  • M(16,14,3)
    |title = M(16,14,3) - <math>k(C_2 \times C_2 \times A_4)</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    2 KB (277 words) - 15:02, 27 November 2019
  • M(16,14,5)
    |title = M(16,14,5) - <math>k((C_2)^4 : C_5)</math> |representative = <math>k((C_2)^4 : C_5)</math>
    3 KB (323 words) - 15:21, 27 November 2019
  • M(16,14,7)
    |title = M(16,14,7) - <math>B_0(k(C_2 \times SL_2(8)))</math> |representative = <math>B_0(k(C_2 \times SL_2(8)))</math>
    4 KB (426 words) - 15:50, 27 November 2019
  • M(16,14,8)
    |title = M(16,14,8) - <math>k(A_4 \times A_4)</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    4 KB (397 words) - 13:56, 28 November 2019
  • M(16,14,9)
    |title = M(16,14,9) - <math>B_0(k(A_4 \times A_5))</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    4 KB (472 words) - 14:13, 28 November 2019
  • M(16,14,10)
    |title = M(16,14,10) - <math>B_0(k(A_5 \times A_5))</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    2 KB (176 words) - 14:19, 28 November 2019
  • M(16,14,12)
    |title = M(16,14,12) - <math>B_0(k(SL_2(16)))</math> |representative = <math>B_0(k(SL_2(16)))</math>
    3 KB (173 words) - 18:40, 9 December 2019
  • M(16,14,13)
    |title = M(16,14,13) - <math>k(C_2 \times ((C_2)^3 : (C_7 : C_3)))</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    3 KB (296 words) - 14:48, 28 November 2019
  • M(16,14,14)
    |title = M(16,14,14) - <math>B_0(k(C_2 \times J_1))</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    3 KB (391 words) - 15:34, 28 November 2019
  • M(16,14,15)
    |title = M(16,14,15) - <math>B_0(k(C_2 \times \operatorname{Aut}(SL_2(8))))</math> |representative = <math>B_0(k(C_2 \times \operatorname{Aut}(SL_2(8))))</math>
    3 KB (412 words) - 19:49, 8 December 2019
  • M(16,14,16)
    |title = M(16,14,16) - <math>b_2(k((C_2)^4:3^{1+2}_+))</math> |representative = <math>b_2(k((C_2)^4:3^{1+2}_+))</math>
    2 KB (232 words) - 15:40, 28 November 2019
  • M(32,51,1)
    |title = M(32,51,1) - <math>k((C_2)^5)</math> ...], [[M(16,14,17)]], [[M(16,14,20)]],[[M(16,14,22)]],[[M(16,14,24)]] or [[M(16,14,30)]].
    2 KB (245 words) - 15:17, 5 December 2019
  • M(32,51,4)
    |title = M(32,51,4) - <math>k((C_2)^4 : C_3) \times C_2)</math> |representative = <math>k((C_2)^4 : C_3) \times C_2)</math>
    2 KB (319 words) - 16:32, 5 December 2019
  • M(32,51,5)
    |title = M(32,51,5) - <math>k((C_2)^4 : C_5) \times C_2)</math> |representative = <math>k((C_2)^4 : C_5) \times C_2)</math>
    3 KB (439 words) - 16:54, 9 December 2019
  • M(32,51,7)
    |title = M(32,51,7) - <math>B_0(k(SL_2(8) \times (C_2)^2))</math> |representative = <math>B_0(k(SL_2(8) \times (C_2)^2))</math>
    5 KB (620 words) - 13:14, 6 December 2019
  • M(32,51,9)
    |title = M(32,51,9) - <math>B_0(k(A_4 \times A_5 \times C_2))</math> 16 & 8 & 8 & 8 & 8 & 4 & 4 & 4 & 4 \\
    5 KB (709 words) - 13:27, 6 December 2019
  • M(32,51,10)
    |title = M(32,51,10) - <math>B_0(k(A_5 \times A_5 \times C_2))</math> 32 & 16 & 16 & 16 & 16 & 8 & 8 & 8 & 8 \\
    6 KB (924 words) - 13:37, 6 December 2019
  • M(32,51,12)
    |title = M(32,51,12) - <math>B_0(k(SL_2(16) \times C_2))</math> |representative = <math>B_0(k(SL_2(16) \times C_2))</math>
    5 KB (233 words) - 16:55, 9 December 2019
  • M(32,51,13)
    |title = M(32,51,13) - <math>k(((C_2)^3 : C_7) \times A_4)</math> |k-derived = [[M(32,51,14)]], [[M(32,51,15)]], [[M(32,51,16)]]
    12 KB (1,029 words) - 16:04, 8 December 2019
  • M(32,51,14)
    |title = M(32,51,14) - <math>B_0(k(((C_2)^3 : C_7) \times A_5))</math> |k-derived = [[M(32,51,13)]], [[M(32,51,15)]], [[M(32,51,16)]]
    14 KB (1,366 words) - 16:01, 8 December 2019
  • M(32,51,15)
    |title = M(32,51,15) - <math>B_0(k(SL_2(8) \times A_4))</math> |representative = <math>B_0(k(SL_2(8) \times A_4))</math>
    15 KB (1,470 words) - 16:13, 8 December 2019
  • M(32,51,16)
    |title = M(32,51,16) - <math>B_0(k(SL_2(8) \times A_5))</math> |representative = <math>B_0(k(SL_2(8) \times A_5))</math>
    18 KB (2,005 words) - 17:16, 8 December 2019
  • M(32,51,17)
    |title = M(32,51,17) - <math>k(((C_2)^3 : (C_7:C_3) \times (C_2)^2)</math> 8 & 0 & 0 & 4 & 4 \\
    3 KB (372 words) - 17:59, 8 December 2019
  • M(32,51,18)
    |title = M(32,51,18) - <math>B_0(k(J_1 \times (C_2)^2))</math> 32 & 16 & 16 & 16 & 16 \\
    5 KB (568 words) - 19:42, 8 December 2019
  • M(32,51,19)
    |title = M(32,51,19) - <math>B_0(k({\rm Aut}(SL_2(8)) \times (C_2)^2))</math> |representative = <math>B_0(k({\rm Aut}(SL_2(8)) \times (C_2)^2))</math>
    5 KB (578 words) - 19:49, 8 December 2019
  • M(32,51,21)
    |title = M(32,51,21) - <math>B_0(k((SL_2(8) \times (C_2)^2) : C_3))</math> |representative = <math>B_0(k((SL_2(8) \times (C_2)^2) : C_3))</math>
    4 KB (547 words) - 12:42, 9 December 2019
  • M(32,51,22)
    |title = M(32,51,22) - <math>k((C_2)^4 : C_{31})</math> |representative = <math>k((C_2)^4 : C_{15}) \times C_2)</math>
    18 KB (1,401 words) - 12:59, 9 December 2019
  • M(32,51,23)
    |title = M(32,51,23) - <math>B_0(k(SL_2(32)))</math> |k-derived = [[M(32,51,22)]]
    9 KB (172 words) - 13:47, 9 December 2019
  • M(32,51,25)
    |title = M(32,51,25) - <math>B_0(k(((C_2)^3 : (C_7:C_3)) \times A_5))</math> ...ed = [[M(32,51,24)]], [[M(32,51,26)]], [[M(32,51,27)]], [[M(32,51,28)]], [[M(32,51,29)]]
    9 KB (911 words) - 14:08, 9 December 2019
  • M(32,51,26)
    |title = M(32,51,26) - <math>B_0(k(J_1 \times A_4))</math> ...ed = [[M(32,51,24)]], [[M(32,51,25)]], [[M(32,51,27)]], [[M(32,51,28)]], [[M(32,51,29)]]
    4 KB (185 words) - 14:09, 9 December 2019
  • M(32,51,27)
    |title = M(32,51,27) - <math>B_0(k(J_1 \times A_5))</math> ...ed = [[M(32,51,24)]], [[M(32,51,25)]], [[M(32,51,26)]], [[M(32,51,28)]], [[M(32,51,29)]]
    4 KB (184 words) - 14:10, 9 December 2019
  • M(32,51,28)
    |title = M(32,51,28) - <math>B_0(k({\rm Aut}(SL_2(8)) \times A_4))</math> |representative = <math>B_0(k({\rm Aut}(SL_2(8)) \times A_4))</math>
    4 KB (193 words) - 14:12, 9 December 2019
  • M(32,51,29)
    |title = M(32,51,29) - <math>B_0(k({\rm Aut}(SL_2(8)) \times A_5))</math> |representative = <math>B_0(k({\rm Aut}(SL_2(8)) \times A_5))</math>
    4 KB (191 words) - 14:14, 9 December 2019
  • M(32,51,30)
    |title = M(32,51,30) - <math>k(((C_2)^5 : (C_{31}:C_5))</math> |k(B) = 16
    5 KB (536 words) - 14:48, 9 December 2019
  • M(32,51,31)
    |title = M(32,51,31) - <math>B_0(k({\rm Aut}SL_2(32)))</math> |k(B) = 16
    9 KB (1,187 words) - 17:15, 9 December 2019
  • M(32,51,33)
    |title = M(32,51,33) - <math>b_2(k((C_2)^5:(C_7:3^{1+2}_+)))</math> |k(B) = 16
    4 KB (504 words) - 16:08, 9 December 2019
  • M(32,51,34)
    |title = M(32,51,34) - <math>b_2(k((SL_2(8)\times (C_2)^2):3^{1+2}_+))</math> |representative = <math>b_2(k((SL_2(8)\times (C_2)^2):3^{1+2}_+))</math>
    5 KB (659 words) - 17:08, 9 December 2019
  • 5 +^3
    |[[M(125,3,1)]] || <math>k5_+^{1+2}</math> || 1 || 20 || 4 ||1 || <math>1</math> || || || |[[M(125,3,2)]] || <math>k5_+^{1+2}:C_2</math> || 1 || 20 || 2 ||2 || <math>C_2<
    9 KB (993 words) - 10:36, 4 October 2023
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