Sylow \(p\)-subgroups of commutative modular and semisimple group rings (Q2762940)
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scientific article; zbMATH DE number 1689792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sylow \(p\)-subgroups of commutative modular and semisimple group rings |
scientific article; zbMATH DE number 1689792 |
Statements
16 January 2002
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Abelian groups
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modular group rings
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semisimple group rings
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Sylow subgroups
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0.9663713
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0.9217675
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Sylow \(p\)-subgroups of commutative modular and semisimple group rings (English)
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The present note is a continuation of the recent paper by the author [C. R. Acad. Bulg. Sci. 54, No. 2, 5-8 (2001; Zbl 0972.16018)]. He announces some results concerning the Sylow subgroups of commutative group rings, including: \(C_\lambda\)-groups; summable groups; direct sums of \(\sigma\)-summable groups; high, basic and divisible subgroups in the modular case; starred groups; basic groups in the semisimple case; Warfield invariants.NEWLINENEWLINENEWLINEReviewer's remark: It seems that the self-evaluation given by the author of the note is higher than the results obtained. Such a self-adoration is expressed for example in: ``Well, we continue with the announcement of some major facts, obtained by us.'', ``We close the work with some new paramount constructions...'', ``We conclude the modular case with two central attainments...''.
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