Monogenity of iterates of irreducible binomials
Article Type
Research Article
Publication Title
Communications in Algebra
Abstract
One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is (Formula presented.) for some (Formula presented.); a field for which the answer to this question is affirmative is referred to as a monogenic field. Suppose (Formula presented.) is a monic irreducible polynomial and (Formula presented.) is a root of (Formula presented.), the n-fold composition of f. In this article, we prove a necessary and sufficient condition for (Formula presented.) to be monogenic for every (Formula presented.) and (Formula presented.).
First Page
4678
Last Page
4684
DOI
10.1080/00927872.2024.2356250
Publication Date
1-1-2024
Recommended Citation
Sharma, Himanshu; Sarma, Ritumoni; and Laishram, Shanta, "Monogenity of iterates of irreducible binomials" (2024). Journal Articles. 4909.
https://digitalcommons.isical.ac.in/journal-articles/4909