Capitulation kernels of class groups over Z_p^d-extensions

We generalize Iwasawa's theorem on class group over $\Z_p$-extensions to all $\Z_p^d$-extensions.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Lai, King Fai, Tan, Ki-Seng
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Lai, King Fai
Tan, Ki-Seng
description We generalize Iwasawa's theorem on class group over $\Z_p$-extensions to all $\Z_p^d$-extensions.
doi_str_mv 10.48550/arxiv.1903.03262
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1903_03262</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1903_03262</sourcerecordid><originalsourceid>FETCH-LOGICAL-a672-f35eb2dc9363af3eed711ffcd8c1e8ffd653715ba57b3636d09fa752a6f7e4a63</originalsourceid><addsrcrecordid>eNotj81OwzAQhH3hgAoPwAm_QILtre2EG4r4kyr10lMPjTbxLooISWSnVXl7QuE0GunTaD4h7rTK14W16gHjuTvlulSQKzDOXIvHCqduPvY4d-MgPykO1Cc5smx7TEl-xPE4Lf1EUe7r6RAyOs80pAVON-KKsU90-58rsXt53lVv2Wb7-l49bTJ03mQMlhoT2hIcIANR8Fozt6FoNRXMwVnw2jZofbMgLqiS0VuDjj2t0cFK3P_NXs7XU-y-MH7XvxL1RQJ-ANhDQwU</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Capitulation kernels of class groups over Z_p^d-extensions</title><source>arXiv.org</source><creator>Lai, King Fai ; Tan, Ki-Seng</creator><creatorcontrib>Lai, King Fai ; Tan, Ki-Seng</creatorcontrib><description>We generalize Iwasawa's theorem on class group over $\Z_p$-extensions to all $\Z_p^d$-extensions.</description><identifier>DOI: 10.48550/arxiv.1903.03262</identifier><language>eng</language><subject>Mathematics - Number Theory</subject><creationdate>2019-03</creationdate><rights>http://creativecommons.org/licenses/by-nc-sa/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1903.03262$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1903.03262$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Lai, King Fai</creatorcontrib><creatorcontrib>Tan, Ki-Seng</creatorcontrib><title>Capitulation kernels of class groups over Z_p^d-extensions</title><description>We generalize Iwasawa's theorem on class group over $\Z_p$-extensions to all $\Z_p^d$-extensions.</description><subject>Mathematics - Number Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj81OwzAQhH3hgAoPwAm_QILtre2EG4r4kyr10lMPjTbxLooISWSnVXl7QuE0GunTaD4h7rTK14W16gHjuTvlulSQKzDOXIvHCqduPvY4d-MgPykO1Cc5smx7TEl-xPE4Lf1EUe7r6RAyOs80pAVON-KKsU90-58rsXt53lVv2Wb7-l49bTJ03mQMlhoT2hIcIANR8Fozt6FoNRXMwVnw2jZofbMgLqiS0VuDjj2t0cFK3P_NXs7XU-y-MH7XvxL1RQJ-ANhDQwU</recordid><startdate>20190307</startdate><enddate>20190307</enddate><creator>Lai, King Fai</creator><creator>Tan, Ki-Seng</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190307</creationdate><title>Capitulation kernels of class groups over Z_p^d-extensions</title><author>Lai, King Fai ; Tan, Ki-Seng</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a672-f35eb2dc9363af3eed711ffcd8c1e8ffd653715ba57b3636d09fa752a6f7e4a63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Number Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Lai, King Fai</creatorcontrib><creatorcontrib>Tan, Ki-Seng</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lai, King Fai</au><au>Tan, Ki-Seng</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Capitulation kernels of class groups over Z_p^d-extensions</atitle><date>2019-03-07</date><risdate>2019</risdate><abstract>We generalize Iwasawa's theorem on class group over $\Z_p$-extensions to all $\Z_p^d$-extensions.</abstract><doi>10.48550/arxiv.1903.03262</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.1903.03262
ispartof
issn
language eng
recordid cdi_arxiv_primary_1903_03262
source arXiv.org
subjects Mathematics - Number Theory
title Capitulation kernels of class groups over Z_p^d-extensions
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-19T20%3A43%3A48IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Capitulation%20kernels%20of%20class%20groups%20over%20Z_p%5Ed-extensions&rft.au=Lai,%20King%20Fai&rft.date=2019-03-07&rft_id=info:doi/10.48550/arxiv.1903.03262&rft_dat=%3Carxiv_GOX%3E1903_03262%3C/arxiv_GOX%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