# Invariants of normal local rings by p-cyclic group actions - Mathematics > Commutative Algebra

Abstract: Let \$B\$ be a Noetherian normal local ring, and \$G\subset\AutB\$ a cyclicgroup of local automorphisms of prime order. Let \$A\$ be the ring of\$G\$-invariants of \$B\$, assume that \$A\$ is Noetherian. We study the invariantmorphism; in particular, we prove that \$B\$ is a monogenous \$A\$-algebra if andonly if the augmentation ideal of \$B\$ is principal. If in particular \$B\$ isregular, we prove that \$A\$ is regular if the augmentation ideal of \$B\$ isprincipal.

Author: Franz J. Király, Werner Lütkebohmert

Source: https://arxiv.org/