@article{CM_1984__53_2_133_0, author = {Cornell, Gary and Rosen, Michael I.}, title = {The $\ell $-rank of the real class group of cyclotomic fields}, journal = {Compositio Mathematica}, pages = {133--141}, publisher = {Martinus Nijhoff Publishers}, volume = {53}, number = {2}, year = {1984}, mrnumber = {766293}, zbl = {0551.12006}, language = {en}, url = {http://www.numdam.org/item/CM_1984__53_2_133_0/} }
TY - JOUR AU - Cornell, Gary AU - Rosen, Michael I. TI - The $\ell $-rank of the real class group of cyclotomic fields JO - Compositio Mathematica PY - 1984 SP - 133 EP - 141 VL - 53 IS - 2 PB - Martinus Nijhoff Publishers UR - http://www.numdam.org/item/CM_1984__53_2_133_0/ LA - en ID - CM_1984__53_2_133_0 ER -
Cornell, Gary; Rosen, Michael I. The $\ell $-rank of the real class group of cyclotomic fields. Compositio Mathematica, Tome 53 (1984) no. 2, pp. 133-141. http://www.numdam.org/item/CM_1984__53_2_133_0/
[1] Exponential growth of the l-rank of the class group of the maximal real subfield of cyclotomic fields (to appear). | MR | Zbl
:[2] On the absolute class group of abelian fields, J. of the London Math. Soc. 29 (1954) 211-217. | MR | Zbl
:[3] On the absolute class group of abelian fields II, J. of the London Math. Soc. 30 (1955) 72-80. | MR | Zbl
:[4] On class field towers and the rank of ideal class groups, Nagoya Math. J. 48 (1972) 147-157. | MR | Zbl
:[5] Ivariants of the ideal class group and the Hasse norm theorem, J. Reine and Angew. Math. 297 (1978) 159-171. | MR | Zbl
:[6] The Hasse Norm theorem for abelian extensions of number fields, Bulletin Amer. Math. Soc. 83 (1977) 264-266. | MR | Zbl
:[7] Endliche Gruppen I. Berlin Heidelberg, New York: Springer-Verlag (1979). | MR | Zbl
:[8] : The 2-divisibility of the class number of cyclotomic fields and the Stickelberger ideal (to appear). | MR | Zbl
[9] Units and class groups in number theory and algebraic geometry, Bullentin Amer. Math. Soc. 6 (1982) 253-316. | MR | Zbl
:[10] Zur Geschlechtertheorie in abelschen Zahlkörpern, Math. Nach. 9 (1953) 350-362. | MR | Zbl
:[11] Central and genus class fields and the Hasse norm theorem, Comp. Math. 35 (1977) 281-298. | Numdam | MR | Zbl
:[12] On projective representations and ring extensions of finite groups, J. Fac. Sci. Univ. Tokyo 10 (1964) 147-195. | MR | Zbl
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