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Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms

✍ Scribed by Alexander Borisov; Mark Sapir


Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
294 KB
Volume
160
Category
Article
ISSN
0020-9910

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Let k=GF(q) be the finite field of order q. Let f 1 (x), f 2 (x) # k[x] be monic relatively prime polynomials satisfying n=deg f 1 >deg f 2 0 and f 1 (x)Γ‚f 2 (x){ g 1 (x p )Γ‚g 2 (x p ) for any g 1 (x), g 2 (x) # k[x]. Write Q(x)= f 1 (x)+tf 2 (x) and let K be the splitting field of Q(x) over k(t). L