In math, what is a group called?
An algebraic structure
What pair is a group made of?
Elements
Does it merge any two to form a third?
Yes.
How many conditions does it meet?
Four.
What are the four called?
Group axioms
Groups share a closeness with the notion of what?
Symmetry.
What does a symmetry group encode features of?
A geometrical object:
What are point groups used to help figure out?
Phenomena
The ubiquity of groups in few areas?
Numerous.
What are group axioms?
Closure, associativity, identity and invertibility
Is it detached from the group?
Yes.