query: $A_n$ contains an isomorphic copy of $S_{n-2}$
positive_passages.docid: 131594
positive_passages.text: Can the symmetric group $S_n$ be imbedded as a subgroup in $A_{n+1}$?
negative_passages.docid: 10998
negative_passages.text: Embedding $S_n$ in $A_{2n}$
negative_passages.docid: 108310
negative_passages.text: $(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
negative_passages.docid: 3161
negative_passages.text: Galois group of $x^6 + 3$ isomorphic to a copy of $S_3$ inside $S_6$
negative_passages.docid: 66169
negative_passages.text: Ring of order $n$ is isomorphic to $\Bbb Z/n\Bbb Z$, with $n$ square-free
negative_passages.docid: 114916
negative_passages.text: $\mathbb Z_{mn}$ isomorphic to $\mathbb Z_m\times\mathbb Z_n$ whenever $m$ and $n$ are coprime
negative_passages.docid: 151520
negative_passages.text: About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$
negative_passages.docid: 933
negative_passages.text: How many groups exist with order $n$ (two isomorphic groups are treated as the same group)
negative_passages.docid: 146028
negative_passages.text: $GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
negative_passages.docid: 46260
negative_passages.text: Prove that a group generated by two elements of order $2$, $x$ and $y$, is isomorphic to $D_{2n}$, where $n = |xy|.$
negative_passages.docid: 23579
negative_passages.text: If $G$ is isomorphic to $H$, then ${\rm Aut}(G)$ is isomorphic to ${\rm Aut}(H)$
negative_passages.docid: 40400
negative_passages.text: Finding an isomorphism between $\mathbb{Z}[i]/(7)$ and $\mathbb{Z}[\sqrt{-2}]/(7)$
negative_passages.docid: 152662
negative_passages.text: Proving that any finite cyclic group of order $n$ is isomorphic to $$
negative_passages.docid: 66708
negative_passages.text: Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
negative_passages.docid: 18141
negative_passages.text: Embedding $S_n$ into $A_{n+2}$
negative_passages.docid: 137949
negative_passages.text: If the quotient group $G/N$ be isomorphic to $G_2$, is $G$ isomorphic to $G_1\times G_2$ where $N$ is isomorphic to $G_1$?
negative_passages.docid: 64130
negative_passages.text: Prove that $\mathbb{Q}^{\times}$ not isomorphic to $\mathbb{Z}^{n}$