Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra

Given an odd prime p, we determine a minimal generating set for the mod p cohomology H*(M(n)) as a module over the mod p Steenrod algebra A(p), where M(n) is a stable summand of the classifying space B(Z/p)n induced by the Steinberg idempotent. Actually, we describe a basis for the quotient graded v...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Journal of the London Mathematical Society 2007-04, Vol.75 (2), p.317-329
1. Verfasser:	Inoue, Masateru
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

container_end_page	329
container_issue	2
container_start_page	317
container_title	Journal of the London Mathematical Society
container_volume	75
creator	Inoue, Masateru
description	Given an odd prime p, we determine a minimal generating set for the mod p cohomology H(M(n)) as a module over the mod p Steenrod algebra A(p), where M(n) is a stable summand of the classifying space B(Z/p)n induced by the Steinberg idempotent. Actually, we describe a basis for the quotient graded vector space of H(M(n)) modulo all decomposable elements, which lifts to a minimal generating set for H* (M(n)) as an A(p)-module.
doi_str_mv	10.1112/jlms/jdm010
format	Article
fullrecord	<record><control><sourceid>istex_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1112_jlms_jdm010</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>ark_67375_HXZ_6FXTSD6R_N</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3137-a7a4426366396cab8bf200e454bb0ef8eb702121dd377ef3339c531fd81fa2d13</originalsourceid><addsrcrecordid>eNp9kE1PAjEQQBujiYie_AM9asxKp91t4WhUQAOaCBripelup3y4S027fvDvBSEePU0yeW8yeYScArsEAN5alFVsLWzFgO2RBqSykyiVsX3SYIyniQSmDslRjAvGQADjDfLSwyUGU_sQqXe0niEt_MxXvvTT1WYzPFueUxOpoZW3HyVS_4nhl_PW0vcwr0xY0VGNuAzeUlNOMQ_mmBw4U0Y82c0mee7ejq_7yeCxd3d9NUgKAUIlRpk05VJIKTqyMHk7d5wxTLM0zxm6NuaKceBgrVAKnRCiU2QCnG2DM9yCaJKL7d0i-BgDOr37SAPTmyR6k0Rvk6xp2NJf8xJX_6H6fjAcMQFq7SRbZx5r_P5zTHjTUgmV6f7kVcvuZDy6kU_6QfwAWzh0yQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra</title><source>Wiley Online Library Journals Frontfile Complete</source><source>Alma/SFX Local Collection</source><creator>Inoue, Masateru</creator><creatorcontrib>Inoue, Masateru</creatorcontrib><description>Given an odd prime p, we determine a minimal generating set for the mod p cohomology H(M(n)) as a module over the mod p Steenrod algebra A(p), where M(n) is a stable summand of the classifying space B(Z/p)n induced by the Steinberg idempotent. Actually, we describe a basis for the quotient graded vector space of H(M(n)) modulo all decomposable elements, which lifts to a minimal generating set for H* (M(n)) as an A(p)-module.</description><identifier>ISSN: 0024-6107</identifier><identifier>EISSN: 1469-7750</identifier><identifier>DOI: 10.1112/jlms/jdm010</identifier><language>eng</language><publisher>Oxford University Press</publisher><ispartof>Journal of the London Mathematical Society, 2007-04, Vol.75 (2), p.317-329</ispartof><rights>2007 London Mathematical Society</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3137-a7a4426366396cab8bf200e454bb0ef8eb702121dd377ef3339c531fd81fa2d13</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1112%2Fjlms%2Fjdm010$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1112%2Fjlms%2Fjdm010$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Inoue, Masateru</creatorcontrib><title>Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra</title><title>Journal of the London Mathematical Society</title><description>Given an odd prime p, we determine a minimal generating set for the mod p cohomology H(M(n)) as a module over the mod p Steenrod algebra A(p), where M(n) is a stable summand of the classifying space B(Z/p)n induced by the Steinberg idempotent. Actually, we describe a basis for the quotient graded vector space of H(M(n)) modulo all decomposable elements, which lifts to a minimal generating set for H* (M(n)) as an A(p)-module.</description><issn>0024-6107</issn><issn>1469-7750</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9kE1PAjEQQBujiYie_AM9asxKp91t4WhUQAOaCBripelup3y4S027fvDvBSEePU0yeW8yeYScArsEAN5alFVsLWzFgO2RBqSykyiVsX3SYIyniQSmDslRjAvGQADjDfLSwyUGU_sQqXe0niEt_MxXvvTT1WYzPFueUxOpoZW3HyVS_4nhl_PW0vcwr0xY0VGNuAzeUlNOMQ_mmBw4U0Y82c0mee7ejq_7yeCxd3d9NUgKAUIlRpk05VJIKTqyMHk7d5wxTLM0zxm6NuaKceBgrVAKnRCiU2QCnG2DM9yCaJKL7d0i-BgDOr37SAPTmyR6k0Rvk6xp2NJf8xJX_6H6fjAcMQFq7SRbZx5r_P5zTHjTUgmV6f7kVcvuZDy6kU_6QfwAWzh0yQ</recordid><startdate>200704</startdate><enddate>200704</enddate><creator>Inoue, Masateru</creator><general>Oxford University Press</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>200704</creationdate><title>Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra</title><author>Inoue, Masateru</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3137-a7a4426366396cab8bf200e454bb0ef8eb702121dd377ef3339c531fd81fa2d13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Inoue, Masateru</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Journal of the London Mathematical Society</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Inoue, Masateru</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra</atitle><jtitle>Journal of the London Mathematical Society</jtitle><date>2007-04</date><risdate>2007</risdate><volume>75</volume><issue>2</issue><spage>317</spage><epage>329</epage><pages>317-329</pages><issn>0024-6107</issn><eissn>1469-7750</eissn><abstract>Given an odd prime p, we determine a minimal generating set for the mod p cohomology H(M(n)) as a module over the mod p Steenrod algebra A(p), where M(n) is a stable summand of the classifying space B(Z/p)n induced by the Steinberg idempotent. Actually, we describe a basis for the quotient graded vector space of H(M(n)) modulo all decomposable elements, which lifts to a minimal generating set for H* (M(n)) as an A(p)-module.</abstract><pub>Oxford University Press</pub><doi>10.1112/jlms/jdm010</doi><tpages>13</tpages></addata></record>
fulltext	fulltext
identifier	ISSN: 0024-6107
ispartof	Journal of the London Mathematical Society, 2007-04, Vol.75 (2), p.317-329
issn	0024-6107 1469-7750
language	eng
recordid	cdi_crossref_primary_10_1112_jlms_jdm010
source	Wiley Online Library Journals Frontfile Complete; Alma/SFX Local Collection
title	Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra
url	https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-21T19%3A39%3A58IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-istex_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Generators%20of%20the%20cohomology%20of%20M(n)%20as%20a%20module%20over%20the%20odd%20primary%20Steenrod%20algebra&rft.jtitle=Journal%20of%20the%20London%20Mathematical%20Society&rft.au=Inoue,%20Masateru&rft.date=2007-04&rft.volume=75&rft.issue=2&rft.spage=317&rft.epage=329&rft.pages=317-329&rft.issn=0024-6107&rft.eissn=1469-7750&rft_id=info:doi/10.1112/jlms/jdm010&rft_dat=%3Cistex_cross%3Eark_67375_HXZ_6FXTSD6R_N%3C/istex_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true