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Dual of a projective cover over a group algebra
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Representation theory
Modular representation theory
Symmetric algebra (Frobenius algebra)
Group algebra is a symmetric algebra
Projective modules over a finite group algebra are injective
Head and socle of an indecomposable projective group-algebra module
2026-10-03
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For every simple
finite-dimensional
k
G
-
module
S
,
P
S
∗
≅
P
S
∗
.
(1)
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Head and socle of an indecomposable projective group-algebra module
Projective modules over a finite group algebra are injective
Group algebra is a symmetric algebra
Symmetric algebra (Frobenius algebra)
Modular representation theory
Representation theory
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2019
/
iii
/
Paper 138
/
3
/
c
/
Solution
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