We introduce minimal polynomials for finite automorphisms of commutative groups and relate them to the exponent of the fixed points and to the reducibility of the group. Some results can be extended to the noncommutative case.
Falcone, G. (2001). Cyclotomic Polynomials and Finite Automorphisms of Groups. GEOMETRIAE DEDICATA, 84(1-3), 235-244 [10.1023/A:1010389804233].
Cyclotomic Polynomials and Finite Automorphisms of Groups
FALCONE, Giovanni
2001-01-01
Abstract
We introduce minimal polynomials for finite automorphisms of commutative groups and relate them to the exponent of the fixed points and to the reducibility of the group. Some results can be extended to the noncommutative case.
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