Explicit elements of norm one for cyclic groups

Details Explicit elements of norm one for cyclic groups Explicit elements of norm one for cyclic groups

2000-12-06

arxiv.org/abs/math/0012038v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

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.

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