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\title{Temario de Algebra Moderna I}
\author{Elhoim Sumano \\Araceli Guzmán}
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\maketitle
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\section{Grupos y Homomorfismos}  
\subsection{Operaciones binarias en un conjunto}  
\subsection{Semigrupos y Monoides}
\subsection{Grupos y Homomorfismos de Grupos}

\section{Teoremas de Isomorfismo}  
\subsection{Subgrupos}  
\subsection{Teorema de Lagrange}
\subsection{Subgrupos Normales y Grupos Cocientes}
\subsection{Teoremas de Isomorfismo}

\section{Grupos Simétricos y G-conjuntos}  
\subsection{Grupos Simétricos}  
\subsection{G-conjuntos}
\subsection{Un poco de Geometría}

\section{Teoremas de Sylow}  
\subsection{p-Grupos}  
\subsection{Teoremas de Sylow}
\subsection{Aplicaciones}

\section{Grupos Abelianos}  
\subsection{Grupos Ablianos Libres y Finitamente Generados}  
\subsection{Grupos Divisibles y Reducidos}
\subsection{Grupos de Torsion}

\section{Series Normales}  
\subsection{Theorema de Jordan-Hölder}  
\subsection{Grupos Solubles}
\subsection{Grupos Nilpotentes}

\section{Teoría de Anillos}
\subsection{Anillo y Homomorfismos de Anillos}
\subsection{Ideales y Anillos Cocientes}
\subsection{Campo de Cocientes de un Dominio Entero}
\subsection{Anillos Euclidianos}
\subsection{Dominios de Ideales Principales}
\subsection{Dominios de Factorización Única}

\begin{thebibliography}{6}
\bibitem[1]{1} Fraleigh, J.B.; \emph{Álgebra Abstracta}; Addison
Wesley. 
\bibitem[2]{2} Herstein, I. N.; \emph{Álgebra Moderna}; Editorial
Trillas, México. 
\bibitem[3]{3} Hungerford, T. W.; \emph{Algebra}, Springer-Verlag. 
\bibitem[4]{4} Jacobson, N; \emph{Basic Algebra I}, Freeman. 
\bibitem[5]{5} Lang, S.; \emph{Algebra}; Addison Wesley, Mass.
\bibitem[6]{6} Rotman, J. J.; \emph{An Introduction to the Theory of
Groups}, Springer-Verlag, New York
\end{thebibliography}

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