Affordable Access

Publisher Website

Quasi-linearity of cyclic monomial automorphisms

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
95
Issue
2
Identifiers
DOI: 10.1016/0021-8693(85)90118-8

Abstract

Let K 1, K 2 be purely transcendental extensions of k of finite transcendence degrees and let s 1, s 2 be k-automorphisms of K 1, K 2 of finite orders. In Theorem 1.5, it is shown that if s 1 acts linearly (on some base of K 1) and if order( s 1) divides order( s 2), then s 1 ⊛ s 2 is (quasi-) equivalent to I ⊛ s 2, where I is the identity automorphism of K 1 and where s 1 ⊛ s 2 is the k-automorphism induced by s 1 and s 2 on the quotient field K 1 ⊛ K 2 of K 1 ⊗ k K 2. This fact and results from [1] are then used to prove that every cyclic monomial automorphism is quasilinearizable (Theorem 2.5).

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments