Igor Yakov SUBBOTIN, Martyn Russell DIXON, Leonid Andreevich KURDACHENKO

On composition factors in modules over some group rings

The aim of this paper is to prove the following result: Let G be an FC-hypercentral group and let Ahave a finite FG-composition series. Then A contains two FG-submodules B,C such that A = B ⊕ C, where eachFG-composition factor of B has finite F -dimension and each FG-composition factor of C has infinite F -dimension.This has consequences for FG-modules whose proper submodules all have finite F -dimension and for those FG-moduleswhose proper quotients all have finite F -dimension.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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