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\parbox[b]{4.1in}{\tiny
  \footnotesize\url{http://drorbn.net/?title=14-1100}
  \newline\bf\tiny
  \href{\myurl}{Dror Bar-Natan}:
  \href{\myurl/classes/}{Classes}:
  \href{\myurl/classes/\#1415}{2014-15}:
  \href{http://drorbn.net/?title=14-1100}{MAT 1100 --- Core Algebra}:
}
\hfill\parbox[b]{2.7in}{
  \null\hfill{\Large\bf Cheat Sheet Finite Groups}
}

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\begin{multicols}{2}

Groups, silly uniquenesses, $(ab)^{-1}=b^{-1}a^{-1}$. $S_n$, $\sigma\tau=\sigma\circ\tau$. ``Category'', homomorphisms, $\varphi\colon S_4\to S_3$, subgroups, $\ker$, $\im$, isomorphisms. $x^g\coloneqq g^{-1}xg$. Kernels are normal, cosets, $G/N$, every normal subgroup is a kernel. $C_G(X)$, $Z(G)$, $N_G(X)$. {\bf $\mathbf 1^{\mathbf st}$ iso.} $\phi\colon G\to H$ morphism $\Rightarrow$ $G/\ker\phi\simeq\im(\phi)$.

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{\bf Groups of small order.}

{\bf Order 0:} $\emptyset$.
{\bf Order 1:} $G_{1,1}=\{e\}$.
{\bf Order 2:}

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  \footnotesize\url{http://drorbn.net/?title=14-1100}
  \newline\bf\tiny
  \href{\myurl}{Dror Bar-Natan}:
  \href{\myurl/classes/}{Classes}:
  \href{\myurl/classes/\#1415}{2014-15}:
  \href{http://drorbn.net/?title=14-1100}{MAT 1100 --- Core Algebra}:
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\hfill\parbox[b]{3in}{
  \null\hfill{\Large\bf Cheat Sheet Rings \& Modules}
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dsagf

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