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binomial rings 1group localization 1Hall-Petresco identities 1nilpotent groups 1p-adic integers 1quasivarieties 1

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20242026
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math.GR2026

Ring-induced localizations of nilpotent groups

Sergei O. Ivanov, Georgii Kadantsev, Aleksandr Krasilnikov

The paper investigates the localization of groups with respect to a commutative ring R and proves that if R is a binomial ring (such as the p‑adic integers), then the R‑localizatio…