Is it possible to define a group structure on arbitrary set?
71902
How to define binary operation on arbitrary set in order to create a group structure.
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
14512
Why cannot a set be its own element?
64582
Group covered by finitely many cosets
22482
How can an ordered pair be expressed as a set?
60075
Does there exist an $n$ such that all groups of order $n$ are Abelian?
12404
Union of definable sets
89234
Any Set with Associativity, Left Identity, Left Inverse is a Group
130706
Group presentations and the Dihedral Group
158882
Prove the existence of some weird family of sets
128544
What are the subcategories of ordered sets / groups?
1627
Cartesian product of an arbitrary number of sets
4800
Is there a name for an algebraic structure like this?
151210
How can we find and categorize the subgroups of $\mathbb{R}$?
26572
Does the Symmetric difference operator define a group on the powerset of a set?
10602
Monotone Union of subgroups being subgroup
42449
Is there any efficient algorithm for finding subgroups of a given finite group?