List questions from normal-subgroups

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Show that $\operatorname{GL}_n(\mathbb{R})/\operatorname{GL}_n^+(\mathbb{R}) \cong \mathbb{Z}_2$

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Show that $K \supseteq \{ g \in G \mid o(g)=n \}$

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Interection of conjugate elements forms a normal subgroup

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Proof that rationals are normal in the reals: $(\mathbb{Q}, +) \trianglelefteq (\mathbb{R}, +)$

Published on 28 Dec 2016 - 19:15

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Let $H\triangleleft G$ and $K\triangleleft G$ show that $H\cap K\triangleleft G$

Published on 30 Dec 2016 - 9:22

List Question

Closed Subsets on Normal Spaces

Subgroup generated by conjugacy class normal?

Relationship Between Normal Subgroup/Ideal and the Kernel of a Homomorphism

Finding a nontrivial normal subgroup of a group of rank 36

Show that $\operatorname{GL}_n(\mathbb{R})/\operatorname{GL}_n^+(\mathbb{R}) \cong \mathbb{Z}_2$

Show that $K \supseteq \{ g \in G \mid o(g)=n \}$

Providing counterexample

A normal subgroup with index relatively prime to its order

proving subgroups on special linear groups

Prove that a subgroup is dense in $\mathbb{R}$

$[G:H] = 3$ and $\exists x \in G \setminus H$ such that $xH=Hx$. Prove $H$ is normal?

Inverse of the canonical projection $ \pi $

Interection of conjugate elements forms a normal subgroup

Proof that rationals are normal in the reals: $(\mathbb{Q}, +) \trianglelefteq (\mathbb{R}, +)$

Let $H\triangleleft G$ and $K\triangleleft G$ show that $H\cap K\triangleleft G$

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