What exactly does $\langle a,b \rangle$ mean? Where a and b are elements of a group G?
62255
Notation question: Subroup generated by two elements?
24181
Showing that $G$ is a group under an alternative operation.
154878
Prove that $H$ is a normal subgroup in the finite group $G=\langle S\rangle $ iff $sHs^{-1}$ $\subseteq H$ for all $s\in S$.
120594
$\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
102721
Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
43230
Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
18528
Show that $a \star b=a \cdot b+a+b$ is binary operation for the group $\Bbb{ Q} \setminus \{-1\}$
71064
How to prove that $\langle Av,w\rangle=\langle v,A^Tw\rangle$?
27086
proof for $\langle q| p \rangle = e^{ipq}$
33233
Need to prove that $(S,\cdot)$ defined by the binary operation $a\cdot b = a+b+ab$ is an abelian group on $S = \Bbb R \setminus \{-1\}$.
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
41731
Question about the order of the product of two elements in an abelian group
32735
If $ \langle G, \star \rangle $ is an abelian group, then for all $a, b \in G$, show that $(a \star b)^{n} = a^{n} \star b^{n}$.
102990
Prove or disprove: $S_{10} = \langle (1,3),(1,2, ... ,10) \rangle$
117538
What is the interpretation of $a \equiv b$ mod $H$ in group theory?
158315
Are $M_2= \langle(\sqrt{2}^{\sqrt{2}},\infty),\cdot \rangle$ , $M_1 = \langle(2,\infty),\cdot\rangle$ isomorphic structures?
67772
How to find $k$ such that $(\mathbb{Z} \times \mathbb{Z})/ \langle (m,n)\rangle \cong \mathbb{Z} \times \mathbb{Z}_k$