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MTH405 Elementary Topics in Pure Mathematics Assignment No 01 Solution & Discusison Spring 2019

Question No.01:

{\rm{Is (Z, }} \circ {\rm{) a group? , where }} \circ {\rm{ is defined by }}a \circ b{\rm{ = }}a - b{\rm{ for all }}a,b \in Z.

Question No.02:

Write down the trivial and non-trivial subgroups of the group

\left\{ {\,\,1,\, - 1,\,\,i,\,\, - i,\,\,j,\,\, - j,\,\,k,\,\, - k\,} \right\}

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