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• W3208594720 abstract "This is a survey. The main subject of this survey is the homotopical or homological nature of certain structures which appear in classical problems about groups, Lie rings and group rings. It is well known that the (generalized) dimension subgroups have complicated combinatorial theories. In this paper we show that, in certain cases, the complexity of these theories is based on homotopy theory. The derived functors of non-additive functors, homotopy groups of spheres, group homology etc appear naturally in problems formulated in purely group-theoretical terms. The variety of structures appearing in the considered context is very rich. In order to illustrate it, we present this survey as a trip passing through examples having a similar nature." @default.
• W3208594720 created "2021-11-08" @default.
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• W3208594720 date "2021-11-01" @default.
• W3208594720 modified "2023-09-27" @default.
• W3208594720 title "Homotopy patterns in group theory" @default.
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• W3208594720 hasPublicationYear "2021" @default.
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