Consider the group G = {1, −1, i, −i, j, −j, k, −k} under multiplication. Here...

Consider the group G = {1, −1, i, −i, j, −j, k, −k} under multiplication. Here
i2= j2= k2= ijk = −1. determine which of the following sets is a subgroup
of G. If a set is not a subgroup, give one reason why it is not.
(a) {1, −1}

(b) {i, −i, j, −j}

(d) {1, i, −i, j}

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Expert Solution

Colby Messinger answered 2 days ago

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