Question

Is modulo 6 a group under multiplication? Prove. ​

Answer 1

Answer:

For addition, there is no identity element. But ({0,1,2,3,4,5},+6) is a Group.

For addition, there is no identity element. But ({0,1,2,3,4,5},+6) is a Group.For multiplication, consider inverses.

For addition, there is no identity element. But ({0,1,2,3,4,5},+6) is a Group.For multiplication, consider inverses.2×2=4=4 (mod 6)

For addition, there is no identity element. But ({0,1,2,3,4,5},+6) is a Group.For multiplication, consider inverses.2×2=4=4 (mod 6)2×3=6=0 (mod 6)

For addition, there is no identity element. But ({0,1,2,3,4,5},+6) is a Group.For multiplication, consider inverses.2×2=4=4 (mod 6)2×3=6=0 (mod 6)2×4=8=2 (mod 6)

For addition, there is no identity element. But ({0,1,2,3,4,5},+6) is a Group.For multiplication, consider inverses.2×2=4=4 (mod 6)2×3=6=0 (mod 6)2×4=8=2 (mod 6)2×5=10=4 (mod 6)

Step-by-step explanation:

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