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- W4301495746 abstract "We prove the following results. Let w be a multilinear commutator word. If G is a profinite group in which all w-values are contained in a union of countably many periodic subgroups, then the verbal subgroup w(G) is locally finite. If G is a profinite group in which all w-values are contained in a union of countably many subgroups of finite rank, then the verbal subgroup w(G) has finite rank as well. As a by-product of the techniques developed in the paper we also prove that if G is a virtually soluble profinite group in which all w-values have finite order, then w(G) is locally finite and has finite exponent." @default.
- W4301495746 created "2022-10-05" @default.
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- W4301495746 date "2013-09-03" @default.
- W4301495746 modified "2023-10-16" @default.
- W4301495746 title "On countable coverings of word values in profinite groups" @default.
- W4301495746 doi "https://doi.org/10.48550/arxiv.1309.0636" @default.
- W4301495746 hasPublicationYear "2013" @default.
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