M(3,1,2)

M(3,1,2)

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Representative:	[math]kS_3[/math]
Defect groups:	[math]kC_3[/math]
Inertial quotients:	[math]C_2[/math]
[math]k(B)=[/math]	3
[math]l(B)=[/math]	2
[math]{\rm mf}_k(B)=[/math]	1
[math]{\rm Pic}_k(B)=[/math]	{{{Pic-k}}}
Cartan matrix:	[math]\left( \begin{array}{cc} 2 & 1 \\ 1 & 2 \\ \end{array} \right)[/math]
Defect group Morita invariant?	{{{defect-morita-inv?}}}
Inertial quotient Morita invariant?	{{{inertial-morita-inv?}}}
[math]\mathcal{O}[/math]-Morita classes known?	{{{O-morita?}}}
[math]\mathcal{O}[/math]-Morita classes:	{{{O-morita}}}
Decomposition matrices:	{{{decomp}}}
[math]{\rm mf}_\mathcal{O}(B)=[/math]	{{{O-morita-frob}}}
[math]{\rm Pic}_{\mathcal{O}}(B)=[/math]	{{{Pic-O}}}
[math]PI(B)=[/math]	{{{PIgroup}}}
Source algebras known?	{{{source?}}}
Source algebra reps:	{{{sourcereps}}}
[math]k[/math]-derived equiv. classes known?	{{{k-derived-known?}}}
[math]k[/math]-derived equivalent to:	{{{k-derived}}}
[math]\mathcal{O}[/math]-derived equiv. classes known?	{{{O-derived-known?}}}
[math]p'[/math]-index covering blocks:	{{{coveringblocks}}}
[math]p'[/math]-index covered blocks:	{{{coveredblocks}}}
Index [math]p[/math] covering blocks:	{{{pcoveringblocks}}}