Question

Let G be the set of all triples of the form
(k1, k2,1) or (k1,K2,-1), where the ki, i=1,2 are
integers. Define an operation on G by the rule
(k1,k2,1) (L1,L2,E)= (k1+L2,k1+L2, E)
(K1,k2,-1) (L1,L2,E) = (k1+L2,K2+L1,-E)
Where E=+1
Prove that G is a group. Prove that the subgroup
H generated by two elements (1,0,1) and
(0, 1, 1) is normal in G.​

Answer 1

Answer:

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Step-by-step explanation: