The Schur group of an abelian number field

Gabriela Eugenia Olteanu; Allen Herman; Angel Del Rio Mateos

The Schur group of an abelian number field

Gabriela Eugenia Olteanu, Allen Herman, Angel Del Rio Mateos

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We characterize the maximum r-local index of a Schur algebra over an abelian number field K in terms of global information determined by the field K for an arbitrary rational prime, r. This completes and unifies previous results of Janusz in [G.J. Janusz, The Schur group of an algebraic number field, Ann. of Math. (2) 103 (1976) 253-281] and Pendergrass in [J.W. Pendergrass, The 2-part of the Schur group, J. Algebra 41 (1976) 422-438].

Original language	English
Pages (from-to)	22-33
Number of pages	12
Journal	Journal of Pure and Applied Algebra
Volume	1
Issue number	213
Publication status	Published - 2009

Keywords

SCHUR GROUP

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Olteanu, G. E., Herman, A., & Del Rio Mateos, A. (2009). The Schur group of an abelian number field. Journal of Pure and Applied Algebra, 1(213), 22-33. http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0K-4SWP27V-2&_user=1011600&_coverDate=01%2F31%2F2009&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1284732171&_rerunOrigin=google&_acct=C000050280&_version=1&_urlVersion=

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title = "The Schur group of an abelian number field",

abstract = "We characterize the maximum r-local index of a Schur algebra over an abelian number field K in terms of global information determined by the field K for an arbitrary rational prime, r. This completes and unifies previous results of Janusz in [G.J. Janusz, The Schur group of an algebraic number field, Ann. of Math. (2) 103 (1976) 253-281] and Pendergrass in [J.W. Pendergrass, The 2-part of the Schur group, J. Algebra 41 (1976) 422-438].",

keywords = "SCHUR GROUP",

author = "Olteanu, {Gabriela Eugenia} and Allen Herman and {Del Rio Mateos}, Angel",

year = "2009",

language = "English",

volume = "1",

pages = "22--33",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "213",

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Olteanu, GE, Herman, A & Del Rio Mateos, A 2009, 'The Schur group of an abelian number field', Journal of Pure and Applied Algebra, vol. 1, no. 213, pp. 22-33. <http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0K-4SWP27V-2&_user=1011600&_coverDate=01%2F31%2F2009&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1284732171&_rerunOrigin=google&_acct=C000050280&_version=1&_urlVersion=>

TY - JOUR

T1 - The Schur group of an abelian number field

AU - Olteanu, Gabriela Eugenia

AU - Herman, Allen

AU - Del Rio Mateos, Angel

PY - 2009

Y1 - 2009

N2 - We characterize the maximum r-local index of a Schur algebra over an abelian number field K in terms of global information determined by the field K for an arbitrary rational prime, r. This completes and unifies previous results of Janusz in [G.J. Janusz, The Schur group of an algebraic number field, Ann. of Math. (2) 103 (1976) 253-281] and Pendergrass in [J.W. Pendergrass, The 2-part of the Schur group, J. Algebra 41 (1976) 422-438].

AB - We characterize the maximum r-local index of a Schur algebra over an abelian number field K in terms of global information determined by the field K for an arbitrary rational prime, r. This completes and unifies previous results of Janusz in [G.J. Janusz, The Schur group of an algebraic number field, Ann. of Math. (2) 103 (1976) 253-281] and Pendergrass in [J.W. Pendergrass, The 2-part of the Schur group, J. Algebra 41 (1976) 422-438].

KW - SCHUR GROUP

M3 - Article

SN - 0022-4049

VL - 1

SP - 22

EP - 33

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 213

ER -

The Schur group of an abelian number field

Abstract

Keywords

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