Question

Prove that the set g = (1, 2, 3, 4, 5, 6) is an abelian group under multiplication modulo 7.

Answer 1

Answer:

see below

Step-by-step explanation:

a × b = c (mod 7)....(1)

a × b = b × a = c

hence....

b × a = c (mod 7).....(2)

from (1), (2)....

a × b = b × a = (mod 7)

therefore g is abelian