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Title: Commutative group algebras of highly torsion-complete abelian $p$-groups (English)
Author: Danchev, Peter
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 44
Issue: 4
Year: 2003
Pages: 587-592
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Category: math
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Summary: A new class of abelian $p$-groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ. Carolinae (2002). (English)
Keyword: high subgroups
Keyword: torsion-complete groups
Keyword: group algebras
Keyword: direct factors
MSC: 16S34
MSC: 16U60
MSC: 20C07
MSC: 20K10
MSC: 20K27
idZBL: Zbl 1101.20001
idMR: MR2062875
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Date available: 2009-01-08T19:31:24Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/119413
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