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 Dec11 comment How do mathematicians think about the existence of numbers? @CBenni Thanks! Dec9 comment left regular representation of $G$ with respect to $g$ Ok, thank you ! Dec9 comment left regular representation of $G$ with respect to $g$ Thank you for the answer. I want to prove that $\lambda_g$ is surjective and injective directly (I know the definitions), but how? Dec2 comment An abelian group is not isomorphic to an non-abelian group. Yes, an isomorphism is a bijective homomorphism. Dec2 comment Show that $\Bbb{Z}/4\Bbb{Z}\times\Bbb{Z}/2\Bbb{Z}\not\cong\Bbb{Z}/8\Bbb{Z}$ @Mj125 Thanks for the quick reply. Nov27 comment A noneempty subset $H$ of a finite goup $G$ is a subgroup if and only if $H$ is closed Thank you, I get it now. This is much better. Nov18 comment Group(Non-abelian) Multiplication Table @BrianM.Scott I came up with this: $$\begin{array}{ l | c r r r r r } * & e & a & b & c & d &f \\ \hline e & e & a & b & c & d & f \\ a & a & b & e & d&f&c \\ b&b&e&a&f&c&d\\ c&c&f&d&e&b&a\\ d&d&c&f&a&e&b\\ f&f&d&c&b&a&e\\ \end{array}$$ is this correct? Oct23 comment How can I Prove that $[(p \to\neg q) \wedge q] \to \neg p$ is a tautology? @PeterSmith See Edit Oct22 comment Prove that the function $\Phi :\mathcal{F}(X,Y)\longrightarrow Y$, is not injective. Great, I get it now! Thank you Oct9 comment Proving $\sum_{i=1}^{n}{\frac{i}{2^i}}=2-\frac{n+2}{2^n}$ by induction. That was quick! Thank you.