Capitulation and stability conjecture for p-class groups in cyclotomic extensions
Let KKK be any real number field and let HK{\mathcal H}_KHK be its ppp-class group, of exponent pe(K)p^{e(K)}pe(K). For any prime number ℓ≡1(mod2pN)\ell \equiv 1 \pmod {2p^N}ℓ≡1(mod2pN), with N≥e(K)N \geq e(K)N≥e(K), let…