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• W2963943397 abstract "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.
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• W2963943397 date "2015-04-01" @default.
• W2963943397 modified "2023-09-23" @default.
• W2963943397 title "On countable coverings of word values in profinite groups" @default.
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• W2963943397 doi "https://doi.org/10.1016/j.jpaa.2014.05.030" @default.
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