Invariant Theory of Finite Groups

By J. Müller. 2005

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The large Davenport constant I: Groups with a cyclic, index 2 subgroup (2012, methodology): “For more on invariant theory and the Noether constant, we refer the reader to the monographs [25, 24] or to more recent work [23, 15].”
The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics (2015, background): “=V1 ⊕...⊕Vr over C, let ρi(g)∈ GL(Vi) be the linear transformation deﬁning the action of g ∈ G onVi. Then we have H(C[V]G,T)= 1 |G| ∑ g∈G r ∏ i=1 1 det(idVi −ρi(g)·Ti) . Example 4.14 (see p. 54-55 in [63]). Consider the alternating group A5 and its 3- dimensional representation over C3 as the group ”
Finite Subgroups of the Plane Cremona Group (2006, unknown): “, n − 1 (see [26]).”
When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials (2004, background): “Another short proof of the theorem is given in [6].”