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- Automorphism groups of cyclotomic schemes over finite near-fields
We prove that apart from a finite number of known exceptions the automorphism group of a nontrivial cyclotomic scheme over a finite near-field K is isomorphic to a subgroup of the group
- 7 Cyclotomic Extensions 71 - Columbia University
This proves that K = F(w) Any automorphism of K that fixes F is deter ined by what it does to w However, any automorphism restricts to a group automorphism of the set of roots of unity, so it maps the set of primitive nt roots of unity to itself Any primitive nth root of unity in K is of the form wt for so e t relatively prime to n Therefore,
- Cyclotomic Fields with Applications - ericmoorhouse. org
This gives a representation of G as a group of automorphisms of the cyclic group h i of order n; and this group has been completely described in the proof of Theorem 1 2
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