We recall from [l] that medial fields can exist in certain models of ZERMELO-FR~ESKEL set theory, and that if F is a medial field, then .F can be represented as the direct limit of a strictly increasing m-sequence (9n)lL<w of finite subfields. If we let 11 be the (necessarily nonzero) characteristic
Automorphisms of finite fields
β Scribed by H.W. Lenstra Jr.
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 427 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
AUTOMORPHISMS O F FINITE ORDER by D. A. ANAPOLITANOS in Athens (Greece) l)
Let k be a perfect field of characteristic p and let # # Aut(k((t))). Define the ramification numbers of # by i m =v t (# p m (t)&t)&1. We give a characterization of the sequences (i m ) which are the sequences of ramification numbers of infinite order automorphisms of formal power series fields ove
We construct a family F F of Frobenius groups having abelian Sylow subgroups Ε½ and non-inner, class-preserving automorphisms. We show that any A-group that is, . a finite solvable group with abelian Sylow subgroups has a sub-quotient belonging to F F provided it has a non-inner, class-preserving aut