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Group Theory: Important Definitions and Results

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* (1) for all $a\in G$, $\exists$ $e\in G$ s.t $a\text{*} e= e\text{*} a =$ * (2) for each $a\in G$, $\exists$ $a^{-1}\in G$ s.t $a\text{*} a^{-1}=a^{-1}\text{*} a =e$. * In a group $G$, there is only one identity element. * In a group

Complex Analysis by M Usman Hamid

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e, the quadratic equations $$ x^2+4=0, x^2+x+1=0 \text{ and } x^2-2x+3=0 $$ don't possess real roots. I