engleski

p-adic version of the index form equations in a parametric family of bicyclic biquadratic fields

In this talk, we deal with the question of existence of primitive integral elements α having index μ(α) divisible by fixed primes in one parametric family of bicyclic biquadratic fields. This problem is reduced to solving p-adic analogue of the index form equations in a given family of biquadratic fields. For a (partial) answer on above question we need some additional conditions: an upper bound for the index μ(α) or an upper bound for the parameter c. We have two different approaches to this problem, depending on given additional conditions.

index form equations; biquadratic fields

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