Answer by Tim Seifert for Group extension analogous to the symmetric group.
This is not always the case, for instance $G=S_n$ for $n\geq 7$ does not admit such an extension, and generally no complete group has this property:Suppose for a contradiction that $G$ is a complete...
View ArticleGroup extension analogous to the symmetric group.
Recently, My Professor taught us about group extension. It is the following: A group $G$ is an extension of $Q$ by $N$ if we have the following short exact sequence:$1 \rightarrow N \rightarrow G...
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