REAL CHARACTERS IN BLOCKS

Héthelyi, Laszlo; Horváth, Erzsebet; Szabó, Endre

Osaka Journal of Mathematics, 2012, 49(3), 613-623

アクセス数:195件（2025-05-11 09:30 集計）

固定URL: https://doi.org/10.18910/23149

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タイトル	REAL CHARACTERS IN BLOCKS
著者	著者名 Héthelyi, Laszlo
	著者名 Horváth, Erzsebet
	著者名 Szabó, Endre
抄録	We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cyclic defect group and for the principal $2$-blocks of groups with trivial real core. We also characterize G-classes, real and rational G-classes of the defect group ofB.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(3)
ページ	613-623
刊行年月	2012-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23149
DOI	https://doi.org/10.18910/23149
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 3　(2012-9）

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(3), p. 613-623
DC.title	REAL CHARACTERS IN BLOCKS
DC.creator	Héthelyi, Laszlo
	Horváth, Erzsebet
	Szabó, Endre
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	2012-09
DCTERMS.abstract	We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cyclic defect group and for the principal $2$-blocks of groups with trivial real core. We also characterize G-classes, real and rational G-classes of the defect group ofB.
DC.identifier	10.18910/23149
DC.format	23149
citation_title	REAL CHARACTERS IN BLOCKS
citation_author	Héthelyi, Laszlo
	Horváth, Erzsebet
	Szabó, Endre
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	3
citation_firstpage	613
citation_lastpage	623
citation_public_url	https://hdl.handle.net/11094/23149
citation_doi_detail	10.18910/23149
citation_doi	https://doi.org/10.18910/23149