Identifying $\langle a,b\mid a^2b^2\rangle$.
13682
Is $\langle a,b \mid a^2b^2=1 \rangle$ a semidirect product of $\mathbb{Z}^2$ and $\mathbb{Z}_2$?
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
138894
Prove that if $3\mid(a^2+b^2)$,then $3\mid a$ and $ 3\mid b$
68951
Normalization of the overlap $\langle x'|p'\rangle$
102721
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
12927
$A^2+B^2=AB$ and $BA-AB$ is non-singular
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
40848
$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$
7418
The Center of $\operatorname{GL}(n,k)$
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
30996
If $\langle Ta, a\rangle \in \mathbb{R}$ for all $a$ then $T$ is self-adjoint
52930
Prove or disprove : $a^3\mid b^2 \Rightarrow a\mid b$
39953
$a\mid b,\ c\mid d\,\Rightarrow\ ac\mid bd $ $\ \, \bf\small [Divisibility\ Product\ Rule]$
150854
Identifying a quotient group (NBHM-$2014$)
4116
If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?