@article{CM_1995__97_1-2_253_0, author = {Sekiguchi, Tsutomu and Suwa, Noriyuki}, title = {On the structure of the group scheme $\mathbb {Z}[\mathbb {Z} / p^n]^\times $}, journal = {Compositio Mathematica}, pages = {253--271}, publisher = {Kluwer Academic Publishers}, volume = {97}, number = {1-2}, year = {1995}, mrnumber = {1355127}, zbl = {0876.14031}, language = {en}, url = {http://www.numdam.org/item/CM_1995__97_1-2_253_0/} }
TY - JOUR AU - Sekiguchi, Tsutomu AU - Suwa, Noriyuki TI - On the structure of the group scheme $\mathbb {Z}[\mathbb {Z} / p^n]^\times $ JO - Compositio Mathematica PY - 1995 SP - 253 EP - 271 VL - 97 IS - 1-2 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1995__97_1-2_253_0/ LA - en ID - CM_1995__97_1-2_253_0 ER -
%0 Journal Article %A Sekiguchi, Tsutomu %A Suwa, Noriyuki %T On the structure of the group scheme $\mathbb {Z}[\mathbb {Z} / p^n]^\times $ %J Compositio Mathematica %D 1995 %P 253-271 %V 97 %N 1-2 %I Kluwer Academic Publishers %U http://www.numdam.org/item/CM_1995__97_1-2_253_0/ %G en %F CM_1995__97_1-2_253_0
Sekiguchi, Tsutomu; Suwa, Noriyuki. On the structure of the group scheme $\mathbb {Z}[\mathbb {Z} / p^n]^\times $. Compositio Mathematica, Tome 97 (1995) no. 1-2, pp. 253-271. http://www.numdam.org/item/CM_1995__97_1-2_253_0/
[1] Schémas en groupes, espaces homogénes et espaces algébriques sur une base de dimension 1', Bull. Soc. Math. France, Mémoire 33 (1973). | Numdam | MR | Zbl
, '[2] Groupes algébriques, Tome 1, Masson-North-Holland, 1970. | Zbl
and ,[3] Unit groups of group rings, Longman Scientific and Technical, 1989. | MR | Zbl
,[4] Commutative group schemes, Lecture Notes in Math. Springer, Vol. 15, 1966. | MR | Zbl
,[5] On the deformation of Witt groups to toriII' J. of Algebra 138 (1991) 273-297. | MR | Zbl
, '[6] A case of extensions of group schemes over a discrete valuation ring', Tsukuba J. Math. 14 (1990) 459-487. | MR | Zbl
and , '[7] Théorie de Kummer-Artin-Schreier', C.R. Acad. Sci. Paris, 312 (1991) 417-420. | MR | Zbl
and , '[8] Théories de Kummer-Artin-Schreier-Witt ', C.R. Acad. Sci. Paris 319 (1994) 105-110. | MR | Zbl
and , '[9] Théorie de Kummer-Artin-Schreier et applications', (to appear in the Proceedings of Journées Arithmétiques Bordeaux 1993). | Numdam | MR | Zbl
and , '[10] On the unified Kummer-Artin-Schreier-Witt theory', Preprint series, Chuo-Math. 41 (1994). | MR | Zbl
and , '[11] On the unit group schemes of commutative group algebras' (in preparation).
and , '[12] On the deformation of Artin-Schreier to Kummer', Ann. Scient. Ec. Normale Sup. 22 (1989) 345-375. | Numdam | MR | Zbl
, and , '[13] Groupes algébriques et corps de classes, Hermann, 1959. | Zbl
,[14] A unified Kummer-Artin-Schreier sequence', Math. Ann. 277 (1987) 447-451. | MR | Zbl
, '[15] Introduction to affine group schemes, Graduate Texts in Math, Vol. 66, Springer, 1979. | MR | Zbl
,[16] One-dimensional affine group schemes ', J. of Algebra 66 (1980) 550-568. | MR | Zbl
and , '[17] Eléments de géométrie algébriques I, Springer, 1971. | Zbl
et ,