IJPAM: Volume 96, No. 4 (2014)
OF PRIME-POWER ORDER
Department of Mathematics
Faculty of Science and Engineering
Chuo University
1-13-27, Kasuga, Bunkyo-ku, Tokyo 112-8551, JAPAN
Abstract. By the classification theorem by F. Oort and J. Tate [#!o-t!#],
any group scheme of prime order is isomorphic to a group scheme under the suitable choice of
and
.
We computed the torsors for some kinds of group schemes
in [#!s-t!#], which is a joint work with T. Sekiguchi,
as in the following way:
denote by
a prime number and by
the value of the Euler function
.
Suppose
is a prime ideal lying over
(which splits completely in
),
where
is a primitive
-st root of the unity.
In case
is principal, the sequence

is exact, and the Galois descent of




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Received: October 10, 2013
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DOI: 10.12732/ijpam.v96i4.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 4
Pages: 407 - 425
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This work is licensed under the Creative Commons Attribution International License (CC BY).