Question: abcd a de ba bcdab cbadc d abcd Let the above table be the operation table for a group (G, .). Consider the table carefully.

abcd a de ba bcdab cbadc d abcd Let the above table be the operation table for a group (G, .). Consider the table carefully. ANSWER THE TWO QUESTIONS BELOW. (a) What is the identity element for this group? (b) Give the inverse element for each of the other three elements. (c) Give a non-trivial proper subgroup of G, if any exist

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