@misc{oai:chuo-u.repo.nii.ac.jp:00001082,
 author = {SEKIGUCHI, Tsutomu and TODA, Yohei},
 month = {Jan},
 note = {application/pdf, Our aim in this paper is to compute the  rst cohomology of some type of nite group schemes. L. G. Roberts [7] gave the  rst cohomology of group schemes in certain conditions. We compute it by completely different way and under circumstances, by using the concept of cyclotomic twisted tori. The concept was introduced by Y. Koide and T. Sekiguchi [4], and they showed that such a twisted torus is isomorphic to a subgroup scheme in a Weil restriction of 1-dimensional algebraic torus given by the intersection of whole norm maps. Here we extend the isomorphism to a resolution of the cyclotomic twisted torus, consisting of Weil restriction of 1-dimensional algebraic tori and several norm maps. And we describe the endomorphism ring of a cyclotomic twisted torus. Moreover, we show that by using the resolution, one can compute that  rst cohomology of a cyclotomic twisted torus, and that one can describe the torsors of some type of  nite group schemes by using the concept of cyclotomic twisted tori.},
 title = {On the cyclotomic twisted torus and some torsors},
 year = {2013}
}