@article{JTNB_2009__21_2_439_0, author = {Validire, Romain}, title = {Capitulation for even $K$-groups in the cyclotomic $\mathbb{Z}_p$-extension.}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {439--454}, publisher = {Universit\'e Bordeaux 1}, volume = {21}, number = {2}, year = {2009}, doi = {10.5802/jtnb.681}, mrnumber = {2541436}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.681/} }