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An algorithm for the unit group of the Burnside ring of a finite group
(Cambridge University Press, 2007-01)
In this note we present an algorithm for the construction of the unit group of
the Burnside ring Ω(G) of a finite group G from a list of representatives of the
conjugacy classes of subgroups of G.
A quiver presentation for Solomon's descent algebra
(Elsvier, 2009)
The descent algebra S(W) is a subalgebra of the group algebra of a finite Coxeter group W, which supports a homomorphism with nilpotent kernel and commutative image in the character ring of W. Thus S(W) is a basic algebra, ...