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On Matrix Equations for Galois Extensions of Fields with Characteristic p
http://hdl.handle.net/10083/2097
http://hdl.handle.net/10083/20972f524d1d-149a-49ef-8157-cb6b6969ae46
名前 / ファイル | ライセンス | アクション |
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KJ00004829544.pdf (578.3 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-04-30 | |||||
タイトル | ||||||
タイトル | On Matrix Equations for Galois Extensions of Fields with Characteristic p | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Inaba, Eizi
× Inaba, Eizi× 稲葉, 栄次 |
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著者(ヨミ) | ||||||
識別子 | 69579 | |||||
識別子Scheme | WEKO | |||||
姓名 | イナバ, エイジ | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Let k be a field with characteristic p and K be a Galois extension of k, the order of the Galois group being a power of p. When K is cyclic of order p over k, it is well known that equations of Artin-Schreier type are essential for its theory and this result was extended to a more general cyclic case by Albert and Witt [1], [5]. The construction of Galois extensions over k for non-abelian case was first studied by Witt [6], but he did not give equations which characterize these extensions. So it is desirable to consider this problem anew. In the case when the characteristic of k does not divide the order of the Galois group the theory on Galois algebras initiated by Hasse [4] contributed much to the study of Galois extensions, but it does not seem to be applicable for the present case. So we consider this problem apart from his theory. Our method is based on representations of Galois groups and we show that matrix equations of a certain type characterize those extensions mentioned above. | |||||
書誌情報 |
お茶の水女子大學自然科學報告 巻 12, 号 2, p. 26-36, 発行日 1961-12 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00298190 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00033958 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
形態 | ||||||
578253 bytes | ||||||
日本十進分類法 | ||||||
主題Scheme | NDC | |||||
主題 | 400 | |||||
出版者 | ||||||
出版者 | お茶の水女子大学 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | 紀要論文 | |||||
資源タイプ・ローカル | ||||||
紀要論文 | ||||||
資源タイプ・NII | ||||||
Departmental Bulletin Paper | ||||||
資源タイプ・DCMI | ||||||
text | ||||||
資源タイプ・ローカル表示コード | ||||||
03 | ||||||
所属 | ||||||
Department of Mathematics, Faculty of Science, Ochanomizu University |