Peter

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7 Questions

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4	When does the Commensurator of a subgroup of a group $G$ not equal $G$?
4	Free subgroup of an amalgamated free product
3	Nontrivial Splitting of a subgroup $H$ of a free product $G=A*B$
3	$U\leq G$ infinite subgroup, $H\leq G$ subgroup of finite index in $G$ $\Rightarrow$ $U\cap H\neq 1$
2	Baumslag-Solitar Group $G=\langle a,t \mid tat^{-1}=a^k\rangle\cong\mathbb{Z}[1/k]\rtimes\langle t\rangle$?

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102 Reputation

+15	Nontrivial Splitting of a subgroup $H$ of a free product $G=A*B$
+10	Nontrivial Splitting of a subgroup $H$ of a free product $G=A*B$
+5	$U\neq H< G$ infinite groups, $p$ prime, $\|G:U\|=p=\|G:H\|$; is $\|G:H\cap U\|= p^2$?
+5	Baumslag-Solitar Group $G=\langle a,t \mid tat^{-1}=a^k\rangle\cong\mathbb{Z}[1/k]\rtimes\langle t\rangle$?

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1 Answer

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1	Nontrivial Splitting of a subgroup $H$ of a free product $G=A*B$

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1 group-theory × 8	1 geometric-group-theory × 6
1 abstract-algebra × 7	0 lie-groups

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