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 Feb 4 comment Let $A,B$ be two subgroups of $G$. Show that $g(A\cap B)=gA \cap gB$ for all $g \in G$ This would be easier to think about if you took $c \in A \cap B$. So this would rephrase your first step to $gc \in g(A \cap B)$. The result basically follows from here. Dec 14 awarded Revival Sep 21 awarded Custodian Sep 15 awarded Nice Question Aug 13 awarded Necromancer Aug 4 awarded Revival Jul 28 answered If $p$ is a factor of $m^2$ then $p$ is a factor of $m$ Jul 17 comment How to solve this Pell's equation $x^{2} - 991y^{2} = 1$ Read this. Jul 12 awarded Revival Jul 6 revised Solve the simultaneous congruences: $2n + 6m\equiv 2 \pmod{10}$ and $n + m\equiv -2 \pmod{10}$ edited body; added 1 characters in body Jul 6 answered Solve the simultaneous congruences: $2n + 6m\equiv 2 \pmod{10}$ and $n + m\equiv -2 \pmod{10}$ Jul 3 comment Riemann Zeta formula Jul 3 revised infinite number of irreducible polynomials in $\mathbb{Z}/2{\mathbb Z}[X]$ edited title Jul 2 comment Your favourite application of the Baire Category Theorem Jul 2 awarded Civic Duty Jul 2 revised Important papers in arithmetic geometry and number theory edited tags Jul 2 revised elliptic-curves wiki description added 206 characters in body Jul 2 revised elliptic-curves wiki excerpt added 40 characters in body Jul 2 suggested approved edit on elliptic-curves tag wiki excerpt Jul 2 suggested approved edit on elliptic-curves tag wiki