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Results tagged with gr.group-theory
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user 129513
Questions about the branch of algebra that deals with groups.
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Number of elementary abelian subgroups of extraspecial $2$-groups
Let $G$ be an extraspecial $2$-group, i.e. $Z(G)=G'=\Phi(G)$ has order $2$. Then $|G|=2^{2n+1}$ for some $n\geq 1$, $G\cong D_8^{*n}$ or $G\cong Q_8*D_8^{*(n-1)}$, and $G$ has one of the following pre …
