SIMPLE PROOFS OF SOME THEOREMS IN BLOCK THEORY OF FINITE GROUPS

Murai, Masafumi

Osaka Journal of Mathematics, 2012, 49(4), 869-873

アクセス数:519件（2025-12-09 10:27 集計）

固定URL: https://doi.org/10.18910/23420

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タイトル	SIMPLE PROOFS OF SOME THEOREMS IN BLOCK THEORY OF FINITE GROUPS
著者	著者名 Murai, Masafumi
抄録	We give simple proofs of Laradji’s theorem on blocks with central defect groups, Watanabe’s theorem on the Glauberman–Watanabe correspondences of blocks and Robinson’s theorem on defect groups of p-blocks of p-solvable groups attaining Brauer’s upper bound for the number of irreducible characters.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(4)
ページ	869-873
刊行年月	2012-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23420
DOI	https://doi.org/10.18910/23420
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 49, Number 4　(2012-12）

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. 2012, 49(4), p. 869-873
DC.title	SIMPLE PROOFS OF SOME THEOREMS IN BLOCK THEORY OF FINITE GROUPS
DC.creator	Murai, Masafumi
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2012-12
DCTERMS.abstract	We give simple proofs of Laradji’s theorem on blocks with central defect groups, Watanabe’s theorem on the Glauberman–Watanabe correspondences of blocks and Robinson’s theorem on defect groups of p-blocks of p-solvable groups attaining Brauer’s upper bound for the number of irreducible characters.
DC.identifier	10.18910/23420
DC.format	23420
citation_title	SIMPLE PROOFS OF SOME THEOREMS IN BLOCK THEORY OF FINITE GROUPS
citation_author	Murai, Masafumi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	4
citation_firstpage	869
citation_lastpage	873
citation_public_url	https://hdl.handle.net/11094/23420
citation_doi_detail	10.18910/23420
citation_doi	https://doi.org/10.18910/23420