On component groups of Jo(N) and degeneracy maps

For an integer M >1 and a prime p ≥ 5 not dividing M, we study the kernel of the degeneracy map ΦʳMp,p --˃ ΦMpʳ,p, where ΦMp,p and ΦMpʳ,p are the component groups of J0(Mp) and J0(Mpʳ), respectively. This is then used to determine the kernel of the degeneracy map J0(Mp)2 --˃ J0(Mp2) whe...

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Main Author: Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
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Online Access:https://hdl.handle.net/10356/93638
http://hdl.handle.net/10220/7616
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-936382023-02-28T19:38:45Z On component groups of Jo(N) and degeneracy maps Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics For an integer M >1 and a prime p ≥ 5 not dividing M, we study the kernel of the degeneracy map ΦʳMp,p --˃ ΦMpʳ,p, where ΦMp,p and ΦMpʳ,p are the component groups of J0(Mp) and J0(Mpʳ), respectively. This is then used to determine the kernel of the degeneracy map J0(Mp)2 --˃ J0(Mp2) when J0(M) = 0. We also compute the group structure of ΦMp2,p in some cases. Published version 2012-03-08T03:58:46Z 2019-12-06T18:42:49Z 2012-03-08T03:58:46Z 2019-12-06T18:42:49Z 1998 1998 Journal Article Ling, S. (1998). On component groups of Jo(N) and degeneracy maps. Proceedings of the American Mathematical Society, 126, 3201–3210. https://hdl.handle.net/10356/93638 http://hdl.handle.net/10220/7616 10.1090/S0002-9939-98-04592-4 en Proceedings of the American mathematical society ©1998 American Mathematical Society.This paper was published in [Proceedings of the American Mathematical Society] and is made available as an electronic reprint (preprint) with permission of [American Mathematical Society]. The paper can be found at http://dx.doi.org/10.1090/S0002-9939-98-04592-4. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 10 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics
spellingShingle DRNTU::Science::Mathematics
Ling, San
On component groups of Jo(N) and degeneracy maps
description For an integer M >1 and a prime p ≥ 5 not dividing M, we study the kernel of the degeneracy map ΦʳMp,p --˃ ΦMpʳ,p, where ΦMp,p and ΦMpʳ,p are the component groups of J0(Mp) and J0(Mpʳ), respectively. This is then used to determine the kernel of the degeneracy map J0(Mp)2 --˃ J0(Mp2) when J0(M) = 0. We also compute the group structure of ΦMp2,p in some cases.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ling, San
format Article
author Ling, San
author_sort Ling, San
title On component groups of Jo(N) and degeneracy maps
title_short On component groups of Jo(N) and degeneracy maps
title_full On component groups of Jo(N) and degeneracy maps
title_fullStr On component groups of Jo(N) and degeneracy maps
title_full_unstemmed On component groups of Jo(N) and degeneracy maps
title_sort on component groups of jo(n) and degeneracy maps
publishDate 2012
url https://hdl.handle.net/10356/93638
http://hdl.handle.net/10220/7616
_version_ 1759853340837019648