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Results tagged with normal-subgroups
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user 1463
7
votes
Existence of simultaneously normal finite index subgroups
There are cases in which this does hold. Greenberg proved that if $H_1$ and $H_2$ are Fuchsian groups with a common finite-index subgroup then each $H_i$ is of finite index in $\langle H_1,H_2\rangle …
- 25.2k
8
votes
Normal subgroups of braid groups
It depends what you mean by classification. Let's start with the example of the free group of rank $n$, $F_n$. The normal subgroups of $F_n$ correspond to $n$-generator groups with marked generating …
- 25.2k