can we have $gHg^{-1}\subsetneq H$?
111024
Does $gHg^{-1}\subseteq H$ imply $gHg^{-1}= H$?
34567
If $G_1$ and $G_2$ are finite group and $H\leq G_1\times G_2$ then $H=P_1\times P_2$ with $P_i\leq G_i$?
31846
Does $\neg(x > y)$ imply that $y \geq x$?
154398
Show that H is a subgroup of G
45280
Is there an Inverse Gamma $\Gamma^{-1} (z) $ function?
83273
Show that $o(gHg^{-1})=o(H)$
110672
Is it true that $aH = bH$ iff $ab^{-1} \in H$
100987
Let f be an r-cycle in $S_n$. Given any $h \in S_n$, show that $hfh^{-1} = (h(x_1), h(x_2), \dots, h(x_r))$
150882
If $\Gamma \cup \{ \neg \varphi \}$ is inconsistent, then $\Gamma \vdash \varphi$
58186
Set theory proof, $\exists g(g\colon A\twoheadrightarrow C)$ or $\exists h(h\colon C\hookrightarrow B)$
34724
For $G$ a group and $H\unlhd G$, then $G$ is solvable iff $H$ and $G/H$ are solvable?
27436
Does $G\cong G/H$ imply that $H$ is trivial?
65744
How can I Prove that H=G or K=G
146480
Example of $\deg(fg)<\deg(f)+\deg(g)$
82097
If $A \succeq B$, is it true that $B^{-1} \succeq A^{-1}$?
108664
Sufficient and necessary conditions to get an infinite fiber $g^{-1}(w)$
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?