Which group is represented by the following representation :
$(a,b|a^5=1,b^2=1,(a \circ b)^3=1)$.
Although I don't expect a question like this on the M208 or MS221 exams on Group Theory due to the ugly '5-min-to-think' constraint, candidates for M208 ( and possibly MS221 ) are well prepared to solve it.
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