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Results tagged with gr.group-theory
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user 24501
Questions about the branch of algebra that deals with groups.
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The number of cyclic groups of order 2p in a group
Let $t_{k}$ be the number of elements of order $k$ in the group $G$. It known that if $|P|=p$ (where $P$ is Sylow $p$-subgroup of $G$), then $t_{2p}$ is a multiple of $t_{p}$. Now let $|P|=p^{2}$, the …
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