In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element. The operation satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.

Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the symmetry groups used in the Standard Model of particle physics; Point groups are used to help understand symmetry phenomena in molecular chemistry; and Poincare groups can express the physical symmetry underlying special relativity.

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