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- W2170227002 abstract "Throughout this paper F denotes a (commutative) field. Let X F denote the class of all groups G such that every irreducible FC -module has finite dimension over F . In (1) P. Hall showed that if F is not locally finite and if G is polycyclic, then G ∈X F if and only if G is abelian-by-finite. Also in (1), if F is locally finite he proved that every finitely generated nilpotent group is in X F and he conjectured that X F should contain every polycyclic group. This turned out to be very difficult, but a positive solution was eventually found by Roseblade, see (8). Meanwhile Levič in (4) had started a systematic investigation of the classes X F . Although his paper contains a number of errors, obscurities and omissions, it remains an interesting work, and it, or more accurately its recent translation, stimulated this present paper." @default.
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- W2170227002 date "1981-11-01" @default.
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- W2170227002 title "Groups whose irreducible representations have finite degree" @default.
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- W2170227002 doi "https://doi.org/10.1017/s0305004100058898" @default.
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