If $\emptyset$ denotes the empty set, what is $ \langle \emptyset \rangle$ in an group?
10229
Cyclic group generated by empty set.
44843
What is the difference between $|0\rangle $ and $0$?
117479
Mutual set of representatives for left and right cosets: what about infinite groups?
81406
Does every set have a group structure?
26572
Does the Symmetric difference operator define a group on the powerset of a set?
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
125502
Empty set literal?
2761
If $S$ is a nonempty subset of group $G$, then $S^{|G|}$ is a subgroup of $G$.
116430
If $I = \langle 2\rangle$, why is $I[x]$ not a maximal ideal of $\mathbb Z[x]$, even though $I$ is a maximal ideal of $\mathbb Z$?
109219
How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like?
36142
What is $\mathbb Z \oplus \mathbb Z / \langle (2,2) \rangle$ isomorphic to?
3072
If the empty set is a subset of every set, why isn't $\{\emptyset,\{a\}\}=\{\{a\}\}$?
152354
Why is an empty set not a terminal object in categories $\mathsf{Top}$ and $\mathsf{Sets}$?
71653
Why is the Cartesian product of a set $A$ and empty set an empty set?
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
84609
Unary intersection of the empty set
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$