Hints:
(1) chi(Gamma) is an open subgroup of Z_p*
(2) Z_{geq 0} is dense in Z_p
(3) z --> chi(gamma)^z is continuous for the p-adic norm.

Hints: (1) chi(Gamma) is an open subgroup of Z_p* (2) Z_{geq 0} is dense in Z_p (3) z --> chi(gamma)^z is continuous for the p-adic norm.

Hints:
(1) chi(Gamma) is an open subgroup of Z_p*
(2) Z_{geq 0} is dense in Z_p
(3) z --&gt; chi(gamma)^z is continuous for the p-adic norm.

If the cyclotomic extension has a topological generator, then it has one with cyclotomic character an positive integer. #Exercises #Number Theory

This podcast is mainly created for personal use.

Share If the cyclotomic extension has a topological generator, then it has one with cyclotomic character an positive integer. #Exercises #Number Theory