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 : 2000-07-05
Classification:
ring,
group action,
cyclic group,
homology,
MSC 16W22, 16U99, 20C05, 20J05,
[MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA]
@article{hal-00124698,
author = {Aljadeff, Eli and Kassel, Christian},
title = {Explicit elements of norm one for cyclic groups},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00124698}
}
Aljadeff, Eli; Kassel, Christian. Explicit elements of norm one for cyclic groups. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00124698/