Explicit elements of norm one for cyclic groups
Rings and Algebras
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Let G be a cyclic p-group of order p^n acting by automorphisms on a (non-necessarily commutative) ring R. Suppose there is an element x in R such that (1 + t + ... + t^{p-1})(x) = 1, where t is an element of order p in G. We show how to construct an element y in R such that (1 + s + ... + s^{p^n-1})(y) = 1, where s is a generator of G.
Keywords
Cite
@article{arxiv.math/0012038,
title = {Explicit elements of norm one for cyclic groups},
author = {Eli Aljadeff and Christian Kassel},
journal= {arXiv preprint arXiv:math/0012038},
year = {2007}
}
Comments
7 pages