A set of transformations are said to form the group (see Appendix B) if they possess the following four characteristics:
• The transformation equivalent to two successive transformations (“product” of transformations) is a member of the set.
• The product operation obeys the associative law.
• The identity transformation is a member of the set.
• The inverse of each transformation in the set is also a member of the set.
Prove that the sets of full Lorentz transformations and of restricted Lorentz transformation have (separately) the group property.
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