Example 6 As an example of using a table to define a group, let G be...

Transcribed Image Text:

Example 6 As an example of using a table to define a group, let G be the set {e, a, b, c} with operation given by the table e a b c 2909 e e a b a b 500 a e C e 998 b a b a e Associativity can be checked case by case, and so one may verify that this is an Abelian group with 4 elements. Example 6 As an example of using a table to define a group, let G be the set {e, a, b, c} with operation given by the table e a b c 2909 e e a b a b 500 a e C e 998 b a b a e Associativity can be checked case by case, and so one may verify that this is an Abelian group with 4 elements.