Journal article

Simple modules for groups with abelian Sylow 2-subgroups are algebraic

Abstract:: An algebraic module is a KG-module that satisfies a polynomial with integer coefficients, with addition and multiplication given by direct sum and tensor product. In this article we prove that if G is a group with abelian Sylow 2-subgroups and K is a field of characteristic 2, then every simple KG-module is algebraic.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Craven, D. (2009). Simple modules for groups with abelian Sylow 2-subgroups are algebraic. Journal of Algebra, 321(5), 1473–1479.

MLA Style

Craven, D. “Simple Modules for Groups with Abelian Sylow 2-Subgroups Are Algebraic.” Journal of Algebra, Publisher's version, vol. 321, no. 5, 2009, pp. 1473–79.

Chicago Style

Craven, D. 2009. “Simple Modules for Groups with Abelian Sylow 2-Subgroups Are Algebraic.” Journal of Algebra 321 (5): 1473–79.
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Files:: 1-s2.0-S0021869308006121-main.pdf

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Publisher copy:: 10.1016/j.jalgebra.2008.11.036

Authors

+ Craven, D More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Publisher:: Elsevier
Journal:: Journal of Algebra More from this journal
Volume:: 321
Issue:: 5
Pages:: 1473-1479
Publication date:: 2009-03-01
Edition:: Publisher's version
DOI:: 10.1016/j.jalgebra.2008.11.036
ISSN:: 0021-8693

Language:: English
Keywords:: Algebraic module

Tensor product

Abelian defect group
Subjects:: Mathematics

Group theory and generalizations (mathematics)
UUID:: uuid:568dcf05-1658-48cb-902c-e5c1cb1b5e49
Local pid:: ora:8584
Deposit date:: 2014-06-11
ARK identifier:: ark:/29072/ora_568dcf05165848cb902ce5c1cb1b5e49

Terms of use

Copyright holder:: Elsevier Inc
Copyright date:: 2008
Notes:: Copyright 2008 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/

Licence:: Other

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