Some examples of FAB and mild pro-p-group with trivial cup-product
نویسنده
چکیده
Let GS be the Galois group of the maximal pro-p-extension QS of Q unramified outside a finite set S of places of Q not containing the prime p > 2. In this work, we develop a method to produce some examples of mild (and thus FAB) pro-p-group GS for which some relations are of degree 3 (according to the Zassenhaus filtration). The key computation are done in some Heisenberg extensions of Q of degree p. With the help of GP-Pari we produce some examples for p = 3.
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تاریخ انتشار 2016