On asymorphisms of groups

Igor Protasov, Serhii Slobodianiuk

Let $G$, $H$ be groups and $\kappa$ be a cardinal. A bijection $f:G\to H$ is caled on asymorphism if, for any $X\in [G{]}^{<\kappa }$, $Y\in [H{]}^{<\kappa }$, there exist $X^{\prime }\in [G{]}^{<\kappa }$, $Y'\in[H]^{<κ}…