Metacommutation of primes in Eichler orders
Number Theory
2019-10-01 v1
Abstract
In this article, we study the metacommutation problem in locally Eichler orders. From this arises a permutation of the set of locally principal left ideals of a given prime reduced norm. Previous results on the cycle structure were determined for locally maximal orders. As we extend these results, we present an alternative, combinatorial description of the metacommutation permutation as an action on the Bruhat-Tits tree.
Cite
@article{arxiv.1909.12915,
title = {Metacommutation of primes in Eichler orders},
author = {Angelica Babei and Sara Chari},
journal= {arXiv preprint arXiv:1909.12915},
year = {2019}
}
Comments
17 pages