A note on strong conciseness in virtually nilpotent profinite groups

نویسندگان

چکیده

Abstract A group word w is said to be strongly concise in a class $${\mathcal {C}}$$ C of profinite groups if, for every G such that takes less than $$2^{\aleph _0}$$ 2 ? 0 values , the verbal subgroup ( ) finite. In this paper, we prove virtually nilpotent groups.

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ژورنال

عنوان ژورنال: Archiv der Mathematik

سال: 2022

ISSN: ['0003-889X', '1420-8938']

DOI: https://doi.org/10.1007/s00013-022-01808-z