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https://mathoverflow.net/questions/510416/can-a-group-become-a-full-symmetric-group-after-forcing gr.group theory - Can a group become a full symmetric group after forcing? - MathOverflow Say that a group $G$ is full iff there is a set $X$ such that $G\cong S_X$. Prima facie, fullness is a $\Sigma^1_2$ condition. At MSE I sketched a (FALSE - see... gr group theory become full symmetric forcing https://mathoverflow.net/search?q=user:3635+[gr.group-theory] Posts matching 'user:3635 [gr.group-theory]' - MathOverflow posts matching user gr group theory 3635 mathoverflow https://mathoverflow.net/questions/391364/index-of-the-mapping-class-group-gamma-g-n-inside-textout-pi-g-n gr.group theory - Index of the mapping class group $\Gamma_{g,n}$ inside $\text{Out}(\Pi_{g,n})$ -... gr group theory index mapping class gamma https://mathoverflow.net/questions/tagged/gr.group-theory Newest 'gr.group-theory' Questions - MathOverflow gr group theory questions mathoverflow newest