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On unramified extensions of function fields over finite fields. (English) Zbl 0542.14011

Galois groups and their representations, Proc. Symp., Nagoya/Jap. 1981, Adv. Stud. Pure Math. 2, 89-97 (1983).
[For the entire collection see Zbl 0516.00012.]
The author surveys his results on extensions mentioned in the title, details of which appeared in J. Algebra 75, 445-451 (1982; Zbl 0508.14023) and 457-483 (1982; Zbl 0508.14019) and in J. Math. Soc. Japan 35, 693-709 (1983; Zbl 0518.12006)].
Reviewer: G.Angerm├╝ller

MSC:

14G15 Finite ground fields in algebraic geometry
11R58 Arithmetic theory of algebraic function fields
14H05 Algebraic functions and function fields in algebraic geometry