Conjugacy classes and invariant subrings of R-automorphisms of R[x]

Details Conjugacy classes and invariant subrings of R-automorphisms of R[x] Conjugacy classes and invariant subrings of R-automorphisms of R[x]

2007-07-11

arxiv.org/abs/0707.1539v1

Mathematics

Commutative Algebra

30 pages

Scientific paper

We consider the group G of R-automorphisms of the polynomial ring R[x]
especially in the case where R is the ring of integers modulo n. We describe
conjugacy classes in G, and in the case where n = 4, we describe more
explicitly the structure of G and determine all rings of invariants of R[x]
with respect to subgroups of G.

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