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Create the page "M(7,1,4)" on this wiki! See also the search results found.

  • References
    ...[[#F|F,]] [[#G|G,]] [[#H|H,]] [[#I|I,]] [[#J|J,]] [[#K|K,]] [[#L|L,]] [[#M|M,]] [[#N|N,]] [[#O|O,]] [[#P|P,]] [[#Q|Q,]] [[#R|R,]] [[#S|S,]] [[#T|T]] [[# ...and Quillen's dimension theorem'', J. Pure Appl. Algebra '''22''' (1981), 1-9.
    21 KB (2,957 words) - 12:29, 2 May 2024
  • D8
    |[[M(8,3,1)]] || <math>kD_8</math> || 1 ||5 ||1 ||<math>1</math> || || || ||1 || ...]] || <math>B_0(kPGL_2(5))</math> || ? ||5 ||2 ||<math>1</math> || || || ||1 || <math>D(2 {\cal A})</math>
    2 KB (212 words) - 17:54, 18 December 2018
  • Q8
    ...ath>kQ_8</math> || 1 ||5 ||1 ||<math>1</math> || <math>S_4</math> || ||1 ||1 || ...L_2(5))</math> || 1 ||7 ||3 ||<math>C_3</math> || <math>C_2</math> || || ||1 || <math>Q(3 {\cal A})_2</math>
    1 KB (184 words) - 09:35, 24 May 2022
  • M(16,10,1)
    |title = M(16,10,1) - <math>k(C_4 \times C_2 \times C_2)</math> |inertialquotients = <math>1</math>
    2 KB (256 words) - 09:41, 4 December 2018
  • M(4,2,1)
    |title = M(4,2,1) - <math>k(C_2 \times C_2)</math> |image = M(4,2,1)quiver.png
    2 KB (253 words) - 14:30, 19 December 2018
  • M(4,2,3)
    |title = M(4,2,3) - <math>kA_4</math> |image = M(4,2,3)quiver.png
    3 KB (348 words) - 16:29, 22 November 2018
  • 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
  • C2xC2xC2
    ...math>1</math> || <math>(C_2 \times C_2 \times C_2):GL_3(2)</math> || ||1 ||1 || ...th> || 1 ||8 ||3 ||<math>C_3</math> || <math>C_2 \times C_2</math>|| ||1 ||1 ||
    2 KB (322 words) - 17:49, 23 September 2019
  • 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
    ...7 ||1 ||<math>1</math> || <math>C_7:C_6</math> || ||1 ||1 || [[Image:M(7,1,1)tree.png|45px]] ...|<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
  • M(8,4,3)
    |title = M(8,4,3) - <math>kSL_2(3)</math> |image = M(4,2,3)quiver.png
    2 KB (290 words) - 15:51, 3 June 2021
  • Blocks with basic algebras of low dimension
    | 1 || [[M(1,1,1)]] || <math>1</math> || <math>k1</math> || 1 || 1 || Blocks of defect zero | 2 || [[M(2,1,1)]] || <math>C_2</math> || <math>kC_2</math> || 2 || 1 ||
    4 KB (528 words) - 14:33, 13 December 2023
  • M(8,5,4)
    |title = M(8,5,4) - <math>k((C_2 \times C_2 \times C_2):C_7)</math> |image = M(8,5,4)quiver.png
    4 KB (595 words) - 10:09, 5 June 2019
  • M(8,5,5)
    |title = M(8,5,5) - <math>B_0(kSL_2(8))</math> |image = M(8,5,5)quiver.png
    3 KB (387 words) - 17:22, 21 November 2018
  • 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> == ...h> || 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
  • M(8,3,6)
    |title = M(8,3,6) - <math>B_0(kPSL_2(7))</math> |image = M(4,2,3)quiver.png
    2 KB (232 words) - 21:48, 4 October 2018
  • D16
    ...or defect groups <math>D_8</math> (see [[References|[Er87, Proposition 7.5.1]]]). ...,7,1)]] || <math>k(D_{16})</math> || 1 ||7 ||1 ||<math>1</math> || || || ||1 ||
    2 KB (219 words) - 10:07, 5 October 2018
  • M(8,5,6)
    |title = M(8,5,6) - <math>k((C_2 \times C_2 \times C_2):(C_7:C_3))</math> |image = M(8,5,6)quiver.png
    2 KB (215 words) - 17:23, 21 November 2018
  • M(8,5,8)
    |title = M(8,5,8) - <math>B_0(k(\rm Aut (SL_2(8))))</math> |image = M(8,5,8)quiver.png
    4 KB (411 words) - 15:22, 12 April 2019
  • M(8,4,2)
    |title = M(8,4,2) - <math>B_0(kSL_2(5))</math> |image = M(4,2,2)quiver.png
    2 KB (265 words) - 09:40, 24 May 2022
  • C3xC3
    ...ontain non-principal blocks. Some Picard groups calculated in [[References#M|[Mar]]]. ...||9 ||1 ||<math>1</math> || <math>(C_3 \times C_3):GL_2(3)</math> || ||1 ||1 ||
    6 KB (781 words) - 10:45, 24 May 2022
  • SD16
    ...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 ...6,8,1)]] || <math>kSD_{16}</math> || 1 ||7 ||1 ||<math>1</math> || || || ||1 ||
    3 KB (385 words) - 14:34, 4 August 2022
  • Q16
    ...6,9,1)]] || <math>kSD_{16}</math> || 1 ||7 ||1 ||<math>1</math> || || || ||1 || ...le cover SmallGroup(240,89)</ref> || ? ||8 ||2 ||<math>1</math> || || || ||1 || <math>Q(2 {\cal A})</math>
    3 KB (368 words) - 12:43, 26 November 2018
  • D8xC2
    ...| <math>k(D_8 \times C_2)</math> || ? ||10 ||1 ||<math>1</math> || || || ||1 || ...0(k(PGL_2(5) \times C_2))</math> || ? ||10 ||2 ||<math>1</math> || || || ||1 ||
    1 KB (196 words) - 12:21, 4 January 2019
  • Q8xC2
    ...6,9,1)]] || <math>kSD_{16}</math> || 1 ||7 ||1 ||<math>1</math> || || || ||1 || ...le 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(9,2,16)
    |title = M(9,2,16) - <math>B_0(kPSL_3(4))</math> |representative = <math>B_0(kPSL_3(4))</math>
    2 KB (197 words) - 18:01, 18 December 2018
  • C9xC3
    ...<math>k(C_9 \times C_3)</math> || 1 ||27 ||1 ||<math>1</math> || || ||1 ||1 || ...((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</mat
    1 KB (188 words) - 16:45, 10 January 2019
  • (C2)^5
    ...h> || 1 ||32 ||1 ||<math>1</math> || <math>(C_2)^5:GL_5(2)</math> || ||1 ||1 || ...||<math>C_3</math> || <math>((C_2)^3 : GL_3(2)) \times S_3</math> || ||1 ||1 ||
    6 KB (825 words) - 10:18, 17 May 2022
  • M(16,14,6)
    |title = M(16,14,6) - <math>k(C_2 \times ((C_2)^3 : C_7))</math> |representative = <math>k((C_2)^4 : C_7)</math>
    3 KB (296 words) - 15:53, 27 November 2019
  • M(16,14,7)
    |title = M(16,14,7) - <math>B_0(k(C_2 \times SL_2(8)))</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    4 KB (426 words) - 15:50, 27 November 2019
  • M(16,14,15)
    |title = M(16,14,15) - <math>B_0(k(C_2 \times \operatorname{Aut}(SL_2(8))))</math> |defect = [[(C2)%5E4|<math>(C_2)^4</math>]]
    3 KB (412 words) - 19:49, 8 December 2019
  • M(32,51,6)
    |title = M(32,51,6) - <math>k(((C_2)^3 : C_7) \times (C_2)^2)</math> |l(B) = 7
    4 KB (475 words) - 13:05, 6 December 2019
  • M(32,51,7)
    |title = M(32,51,7) - <math>B_0(k(SL_2(8) \times (C_2)^2))</math> |l(B) = 7
    5 KB (620 words) - 13:14, 6 December 2019
  • M(32,51,13)
    |title = M(32,51,13) - <math>k(((C_2)^3 : C_7) \times A_4)</math> |k-morita-frob = 1
    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-morita-frob = 1
    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> |k-morita-frob = 1
    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> |k-morita-frob = 1
    18 KB (2,005 words) - 17:16, 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> |k-morita-frob = 1
    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> |k-morita-frob = 1
    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(32,51,24)
    |title = M(32,51,24) - <math>k(((C_2)^3 : (C_7:C_3)) \times A_4)</math> |inertialquotients = <math>(C_{7}:C_3) \times C_3</math>
    8 KB (718 words) - 14:03, 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> |inertialquotients = <math>(C_{7}:C_3) \times C_3</math>
    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> |inertialquotients = <math>(C_{7}:C_3) \times C_3</math>
    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> |inertialquotients = <math>(C_{7}:C_3) \times C_3</math>
    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> |inertialquotients = <math>(C_{7}:C_3) \times C_3</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> |inertialquotients = <math>(C_{7}:C_3) \times C_3</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-morita-frob = 1
    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-morita-frob = 1
    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> |representative = <math>b_2(k((C_2)^5:(C_7:3^{1+2}_+)))</math>
    4 KB (504 words) - 16:08, 9 December 2019

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