CONSTRUCTING PGL(2, 7)-EXTENSIONS WITH RESTRICTED RAMIFICATIONS

Kida, Masanari; Suzuki, Nozomu

Osaka Journal of Mathematics, 2025, 62(3), 395-409

アクセス数:43件（2026-02-11 07:36 集計）

固定URL: https://doi.org/10.18910/102431

ファイル	フォーマット	利用条件	サイズ	閲覧回数	利用開始日	説明	information
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タイトル	CONSTRUCTING PGL(2, 7)-EXTENSIONS WITH RESTRICTED RAMIFICATIONS
著者	NRID 1000020272057 1000020272057 著者名 Kida, Masanari
著者	著者名 Suzuki, Nozomu
抄録	By specializing regular polynomial with Galois group PGL(2, 7) and using Newton polygon technique, we construct PGL(2, 7)-extensions over ℚ unramified over their unique quadratic subfields. The Galois group over the quadratic field is a simple group PSL(2, 7).
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(3)
ページ	395-409
刊行年月	2025-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/102431
DOI	https://doi.org/10.18910/102431
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 62, Number 3 （2025-07）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2025, 62(3), p. 395-409
DC.title	CONSTRUCTING PGL(2, 7)-EXTENSIONS WITH RESTRICTED RAMIFICATIONS
DC.creator	Kida, Masanari
DC.creator	Suzuki, Nozomu
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-07
DCTERMS.abstract	By specializing regular polynomial with Galois group PGL(2, 7) and using Newton polygon technique, we construct PGL(2, 7)-extensions over ℚ unramified over their unique quadratic subfields. The Galois group over the quadratic field is a simple group PSL(2, 7).
DC.identifier	10.18910/102431
DC.format	102431
citation_title	CONSTRUCTING PGL(2, 7)-EXTENSIONS WITH RESTRICTED RAMIFICATIONS
citation_author	Kida, Masanari
citation_author	Suzuki, Nozomu
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	3
citation_firstpage	395
citation_lastpage	409
citation_public_url	https://hdl.handle.net/11094/102431
citation_doi_detail	10.18910/102431
citation_doi	https://doi.org/10.18910/102431