2024-03-29T12:01:08Z
https://teapot.lib.ocha.ac.jp/oai
oai:teapot.lib.ocha.ac.jp:00034981
2022-12-12T05:39:50Z
347:359:599
On Generalized Artin-Schreier Equations
Inaba, Eizi
稲葉, 栄次
400
application/pdf
紀要論文
Let k be a field with characteristic p and K a finite Galois extension of k whose Galois group is denoted by G. In the previous article [1] we showed that K can be defined by matrix equations of a certain type when the order of G is a power of p and that these equations have properties similar to those of Artin-Schreier equations. The aim of the present work is first to show that the above result can be extended to the general case when G is arbitrary, and secondly to investigate relations between the form of generalized Artin-Schreier equations and the type of representations of G determined by these equations. It is hoped that our theory will contribute in some degree to answering the qestion as to how we can construct Galois extensions whose Galois groups are isomorphic to a given group.
お茶の水女子大学
1962-12
eng
departmental bulletin paper
http://hdl.handle.net/10083/2104
https://teapot.lib.ocha.ac.jp/records/34981
AN00033958
00298190
お茶の水女子大學自然科學報告
13
2
1
13
https://teapot.lib.ocha.ac.jp/record/34981/files/KJ00004829565.pdf
application/pdf
630.8 kB
2018-04-19