Generic Automorphisms with prescribed Fixed Fields
نویسنده
چکیده
This article addresses the question which structures occur as fixed structures of stable structures with a generic automorphism. Among others we give a Galois theoretic characterisation. As application we prove: Any pseudofinite field is the fixed field of some model of ACFA. Any one-free pseudo-differentially closed field of characteristic zero is the fixed field of some model of DCFA. Any one-free PAC field of finite degree of imperfection is the fixed field of some model of SCFA
منابع مشابه
Automorphism Group of a Possible 2-(121, 16, 2) Symmetric Design
Let D be a symmetric 2-(121, 16, 2) design with the automorphism group of Aut(D). In this paper the order of automorphism of prime order of Aut(D) is studied, and some results are obtained about the number of fixed points of these automorphisms. Also we will show that |Aut(D)|=2p 3q 5r 7s 11t 13u, where p, q, r, s, t and u are non-negative integers such that r, s, t, u ? 1. In addition we prese...
متن کاملConjugacy Classes of Trialitarian Automorphisms and Symmetric Compositions
The trialitarian automorphisms considered in this paper are the outer automorphisms of order 3 of adjoint classical groups of type D4 over arbitrary fields. A one-to-one correspondence is established between their conjugacy classes and similarity classes of symmetric compositions on 8-dimensional quadratic spaces. Using the known classification of symmetric compositions, we distinguish two conj...
متن کاملOn Automorphisms of Algebraic Groups
Automorphisms of Lie algebras over fields of characteristic 0 have been investigated by Borel-Mostow, Jacobson, and Patterson (see [l]> [4], [5]). This note describes some results in [ó] of related investigations of automorphisms of algebraic groups over fields of arbitrary characteristic. In the following discussions, G is a connected linear algebraic group over an algebraically closed field o...
متن کاملAttracting Basins of Volume Preserving Automorphisms of C
We study topological properties of attracting sets for automorphisms of Ck. Our main result is that a generic volume preserving automorphism has a hyperbolic fixed point with a dense stable manifold. We prove the same result for volume preserving maps tangent to the identity. On the other hand, we show that an attracting set can only contain a neighborhood of the fixed point if it is an attract...
متن کاملFixed-point-free Representations over Fields of Prime Characteristic
The irreducible representations over prime fields of characteristic p for those solvable groups which occur as groups of fixed-point-free automorphisms on finite groups are determined.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Symb. Log.
دوره 79 شماره
صفحات -
تاریخ انتشار 2014