Let be a Noetherian normal local ring and be a cyclic group of local automorphisms of prime order. Let be the subring of -invariants of and assume that is Noetherian. We prove that is a monogenous -algebra if and only if the augmentation ideal of is principal. If in particular is regular, we prove that is regular if the augmentation ideal of is principal.
"Group actions of prime order on local normal rings." Algebra Number Theory 7 (1) 63 - 74, 2013. https://doi.org/10.2140/ant.2013.7.63