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Create the page "M(32,2,1)" 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]] [[# |[Al79] || '''J. L. Alperin''', ''Projective modules for <math>SL(2,2^n)</math>'', J. Pure and Applied Algebra '''15''' (1979), 219-234.
    21 KB (2,957 words) - 12:29, 2 May 2024
  • C25
    ...</math> ||25 ||1 || <math>1</math> ||<math>C_{25} : C_{20}</math> || ||1 ||1 || ...h> ||14 ||2 || <math>C_2</math> || <math>C_2 \times C_{10}</math> || ||1 ||1 ||
    2 KB (229 words) - 11:31, 22 November 2018
  • 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
  • D32
    == Blocks with defect group <math>D_{32}</math> == ...or defect groups <math>D_8</math> (see [[References|[Er87, Proposition 7.5.1]]]).
    2 KB (219 words) - 11:05, 1 November 2018
  • MNA(2,2)
    ...efect group <math>MNA(2,2)=\langle x,y|x^4=y^4=[x,y]^2=[x,[x,y]]=[y,[x,y]]=1 \rangle</math> == The defect groups are minimal nonabelian <math>2</math>-groups. The <math>\mathcal{O}</math>-Morita equivalence classes are
    938 bytes (132 words) - 16:46, 28 January 2019
  • C8xC4
    <math>{\rm Aut}(C_8 \times C_4)</math> is a <math>2</math>-group and so every block with this defect group is [[Nilpotent block ...1 ||<math>1</math> || <math>(C_8 \times C_4):((C_2)^4:D_8)</math> || ||1 ||1 ||
    801 bytes (120 words) - 16:58, 28 January 2019
  • MNA(3,1):C2
    ...C_2=\langle a,b,c,d | a^2=b^2=c^2=d^4=1, ab=ba, ac=ca, dad^{-1}=abc, dbd^{-1}=bc=cb, cd=dc \rangle</math> == ...show that there are no non-trivial saturated fusion systems on <math>MNA(3,1):C_2</math> (see [[References#S|[Sa14]]]). See also [[References#V|[vdW91,
    1 KB (159 words) - 16:02, 12 April 2019
  • C16xC2
    <math>{\rm Aut}(C_{16} \times C_2)</math> is a <math>2</math>-group and <math>C_{16} \times C_2</math> is abelian, so there is onl ...> ||<math>(C_{16} \times C_2):{\rm Aut}(C_{16} \times C_2)</math> || ||1 ||1 ||
    995 bytes (150 words) - 11:25, 13 August 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(32,51,6)
    |title = M(32,51,6) - <math>k(((C_2)^3 : C_7) \times (C_2)^2)</math> |representative = <math>k(((C_2)^3 : C_7) \times (C_2)^2)</math>
    4 KB (475 words) - 13:05, 6 December 2019
  • M(32,51,1)
    |title = M(32,51,1) - <math>k((C_2)^5)</math> |inertialquotients = <math>1</math>
    2 KB (245 words) - 15:17, 5 December 2019
  • M(32,51,2)
    |title = M(32,51,2) - <math>k(A_4 \times (C_2)^3)</math> |k(B) = 32
    3 KB (320 words) - 15:26, 5 December 2019
  • M(32,51,3)
    |title = M(32,51,3) - <math>B_0(k(A_5 \times (C_2)^3))</math> |k(B) = 32
    3 KB (369 words) - 16:28, 5 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(32,51,8)
    |title = M(32,51,8) - <math>k(A_4 \times A_4 \times C_2)</math> |k(B) = 32
    5 KB (563 words) - 13:25, 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> |k(B) = 32
    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> |k(B) = 32
    6 KB (924 words) - 13:37, 6 December 2019
  • M(32,51,11)
    |title = M(32,51,11) - <math>k(((C_2)^4 : C_{15}) \times C_2)</math> |k(B) = 32
    8 KB (839 words) - 16:55, 9 December 2019
  • M(32,51,12)
    |title = M(32,51,12) - <math>B_0(k(SL_2(16) \times C_2))</math> |k(B) = 32
    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(B) = 32
    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(B) = 32
    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(B) = 32
    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(B) = 32
    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> |representative = <math>k(((C_2)^3 : (C_7:C_3)) \times (C_2)^2)</math>
    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> |representative = <math>B_0(k(J_1 \times (C_2)^2))</math>
    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(32,51,20)
    |title = M(32,51,20) - <math>k((C_2)^5 : (C_7:C_3))</math> |k-morita-frob = 1
    3 KB (386 words) - 12:42, 9 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> |k(B) = 32
    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> |representative = <math>B_0(k(SL_2(32)))</math>
    9 KB (172 words) - 13:47, 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> |k(B) = 32
    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> |k(B) = 32
    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> |k(B) = 32
    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> |k(B) = 32
    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> |k(B) = 32
    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> |k(B) = 32
    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> |representative = <math>B_0(k({\rm Aut}SL_2(32)))</math>
    9 KB (1,187 words) - 17:15, 9 December 2019
  • M(32,51,32)
    |title = M(32,51,32) - <math>b_2(k((C_2)^4:3^{1+2}_+) \times C_2)</math> |representative = <math>b_2(k((C_2)^4:3^{1+2}_+) \times C_2)</math>
    2 KB (256 words) - 15:02, 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
  • 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
    == Blocks with defect group <math>5_+^{1+2}</math> == |[[M(125,3,1)]] || <math>k5_+^{1+2}</math> || 1 || 20 || 4 ||1 || <math>1</math> || || ||
    9 KB (993 words) - 10:36, 4 October 2023
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