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.
Publié le : 2000-12-06
Classification:
Mathematics - Rings and Algebras,
Mathematical Physics,
16W22,
16U99,
20C05,
20J05
@article{0012038,
author = {Aljadeff, Eli and Kassel, Christian},
title = {Explicit elements of norm one for cyclic groups},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0012038}
}
Aljadeff, Eli; Kassel, Christian. Explicit elements of norm one for cyclic groups. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012038/