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- W2157798428 abstract "The classification of groups according to the varieties they generate requires the study of a class of indecomposable elements. Such a class is the class of basic groups which have been studied in [4], [5] and [6]. A group is called basic if it is indecomposable qua group; that is, it is critical and indecomposable qua variety; that is, its variety is join-irreducible. In this note we consider the higher commutator structure of basic p -groups. Our main theme is the relation between the formal weight of the higher commutator subgroups and the class of the group. We obtain information about the power-commutator structure of a basic p -group, the kinds of laws that can hold in such a group and the varietal structure of groups of the form: Center-extended-by- X ." @default.
- W2157798428 created "2016-06-24" @default.
- W2157798428 creator A5091492318 @default.
- W2157798428 date "1973-09-01" @default.
- W2157798428 modified "2023-09-24" @default.
- W2157798428 title "Basic p-groups: higher commutator structure" @default.
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- W2157798428 doi "https://doi.org/10.1017/s144678870001421x" @default.
- W2157798428 hasPublicationYear "1973" @default.
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