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Automorphisms of finite fields

✍ Scribed by H.W. Lenstra Jr.


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
427 KB
Volume
34
Category
Article
ISSN
0022-314X

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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

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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