Is the Invariance of Physical Laws Linked to a Symmetry Group Structure?

[etothey]

Homework Statement

The invariance of physical laws to a coordinate change suggests a symmetry group structure. Can the operations of cordinate transformation be written as group operations? What is the group?

Homework Equations

The Attempt at a Solution

At the moment I do not really know how to start the question, hint perhaps?

 

[dextercioby]

What is the context of this question (book reference, for example) ? Special relativity, general relativity, QFT ?