THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES

Gu, Xing; Wang, Xiangjun; Wu, Jianqiu

doi:https://doi.org/10.18910/79430

THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES

Gu, Xing; Wang, Xiangjun; Wu, Jianqiu

Osaka Journal of Mathematics, 2021, 58(2), 367-382

アクセス数:350件（2026-04-05 07:30 集計）

固定URL: https://doi.org/10.18910/79430

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タイトル	THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES
著者	著者名 Gu, Xing
	著者名 Wang, Xiangjun
	著者名 Wu, Jianqiu
抄録	In this paper, we re-compute the cohomology of the Morava stabilizer algebra S (3) [12, 16]. As an application, we show that for p ≥ 7, if s ≢ 0, ±1 mod (p), n ≢ 1 mod 3, n > 1, then ζ_nγ_s is a nontrivial product in π∗(S ) by Adams-Novikov spectral sequence, where ζ_n is created by R. Cohen [1], γ_s is a third periodic homotopy elements.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	58(2)
ページ	367-382
刊行年月	2021-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/79430
DOI	https://doi.org/10.18910/79430
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 58, Number 2 （2021-4）

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. 2021, 58(2), p. 367-382
DC.title	THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES
DC.creator	Gu, Xing
	Wang, Xiangjun
	Wu, Jianqiu
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	2021-04
DCTERMS.abstract	In this paper, we re-compute the cohomology of the Morava stabilizer algebra S (3) [12, 16]. As an application, we show that for p ≥ 7, if s ≢ 0, ±1 mod (p), n ≢ 1 mod 3, n > 1, then ζ_nγ_s is a nontrivial product in π∗(S ) by Adams-Novikov spectral sequence, where ζ_n is created by R. Cohen [1], γ_s is a third periodic homotopy elements.
DC.identifier	10.18910/79430
DC.format	79430
citation_title	THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES
citation_author	Gu, Xing
	Wang, Xiangjun
	Wu, Jianqiu
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2021-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	58
citation_issue	2
citation_firstpage	367
citation_lastpage	382
citation_public_url	https://hdl.handle.net/11094/79430
citation_doi_detail	10.18910/79430
citation_doi	https://doi.org/10.18910/79430

THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES

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