ON BLOCKS OF NORMAL SUBGROUPS OF FINITE GROUPS

Murai, Masafumi

Osaka Journal of Mathematics, 2013, 50(4), 1007-1020

アクセス数:434件（2025-07-14 11:51 集計）

固定URL: https://doi.org/10.18910/26820

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タイトル	ON BLOCKS OF NORMAL SUBGROUPS OF FINITE GROUPS
著者	著者名 Murai, Masafumi
抄録	For a block b of a normal subgroup of a finite group G, E.C. Dade has defined a subgroup G[b] of G. We give a character-theoretical interpretation of his result on G[b]. In the course of proofs we determine a defect group of a block of G[b] covering b. We also consider character-theoretical characterizations of isomorphic blocks with respect to normal subgroups.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(4)
ページ	1007-1020
刊行年月	2013-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26820
DOI	https://doi.org/10.18910/26820
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 50, Number 4　(2013-12）

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. 2013, 50(4), p. 1007-1020
DC.title	ON BLOCKS OF NORMAL SUBGROUPS 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	2013-12
DCTERMS.abstract	For a block b of a normal subgroup of a finite group G, E.C. Dade has defined a subgroup G[b] of G. We give a character-theoretical interpretation of his result on G[b]. In the course of proofs we determine a defect group of a block of G[b] covering b. We also consider character-theoretical characterizations of isomorphic blocks with respect to normal subgroups.
DC.identifier	10.18910/26820
DC.format	26820
citation_title	ON BLOCKS OF NORMAL SUBGROUPS OF FINITE GROUPS
citation_author	Murai, Masafumi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	4
citation_firstpage	1007
citation_lastpage	1020
citation_public_url	https://hdl.handle.net/11094/26820
citation_doi_detail	10.18910/26820
citation_doi	https://doi.org/10.18910/26820