M(16,3,2)

M(16,3,2) - [math]B_0(k(A_5:C_4))[/math]

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Representative:	[math]B_0(k(A_5:C_4))[/math]
Defect groups:	MNA(2,1)
Inertial quotients:	[math]1[/math]
[math]k(B)=[/math]	10
[math]l(B)=[/math]	2
[math]{\rm mf}_k(B)=[/math]	1
[math]{\rm Pic}_k(B)=[/math]
Cartan matrix:	[math]\left( \begin{array}{cc} 16 & 8 \\ 8 & 6 \\ \end{array} \right)[/math]
Defect group Morita invariant?
Inertial quotient Morita invariant?
[math]\mathcal{O}[/math]-Morita classes known?
[math]\mathcal{O}[/math]-Morita classes:
Decomposition matrices:	[math]\left( \begin{array}{cc} 1 & 0 \\ 1 & 0 \\ 1 & 0 \\ 1 & 0 \\ 2 & 1 \\ 2 & 1 \\ 1 & 1 \\ 1 & 1 \\ 1 & 1 \\ 1 & 1 \\ \end{array}\right)[/math]
[math]{\rm mf}_\mathcal{O}(B)=[/math]
[math]{\rm Pic}_{\mathcal{O}}(B)=[/math]
[math]PI(B)=[/math]
Source algebras known?
Source algebra reps:
[math]k[/math]-derived equiv. classes known?
[math]k[/math]-derived equivalent to:
[math]\mathcal{O}[/math]-derived equiv. classes known?
[math]p'[/math]-index covering blocks:
[math]p'[/math]-index covered blocks:
Index [math]p[/math] covering blocks:

Basic algebra

Quiver:

Relations w.r.t. [math]k[/math]:

Irreducible characters

[math]k_0(B)=8[/math], [math]k_1(B)=2[/math]

Back to [math]MNA(2,1)[/math]