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A non-nilpotent localization of a finite p-group
Sergei O. Ivanov, Georgii Kadantsev
We give negative answers to two questions of Farjoun about localizations of groups. For every odd prime , we construct a finite -group , an infinite non-nilpotent group $H…
Ring-induced localizations of nilpotent groups
Sergei O. Ivanov, Georgii Kadantsev, Aleksandr Krasilnikov
For a commutative ring , we study the -localization functor on the category of groups, defined as localization with respect to the homomorphism . Our main re…
On Schreier varieties of racks
Georgii Kadantsev, Aleksandra Shutova
We prove that a subrack of a free rack is free and suggest a method to prove a similar statement about involutory racks.
Subquandles of free quandles
Sergei O. Ivanov, Georgii Kadantsev, Kirill Kuznetsov
We prove that a subquandle of a free quandle is free.