\relax 
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\@writefile{toc}{\contentsline {paragraph}{Notation:}{1}{section*.2}}
\@writefile{toc}{\contentsline {paragraph}{Group configuration, first statement:}{1}{section*.3}}
\@writefile{toc}{\contentsline {paragraph}{Remark:}{1}{section*.4}}
\@writefile{toc}{\contentsline {paragraph}{Stability theory preliminaries:}{2}{section*.5}}
\@writefile{toc}{\contentsline {paragraph}{Definition:}{3}{section*.7}}
\@writefile{toc}{\contentsline {paragraph}{Example:}{3}{section*.8}}
\@writefile{toc}{\contentsline {paragraph}{Lemma:}{3}{section*.9}}
\@writefile{toc}{\contentsline {paragraph}{Proof:}{3}{section*.10}}
\@writefile{toc}{\contentsline {paragraph}{Notation:}{3}{section*.11}}
\@writefile{toc}{\contentsline {paragraph}{Definition:}{4}{section*.12}}
\@writefile{toc}{\contentsline {paragraph}{Remark:}{4}{section*.13}}
\@writefile{toc}{\contentsline {paragraph}{Remark:}{4}{section*.14}}
\@writefile{toc}{\contentsline {paragraph}{Lemma:}{4}{section*.16}}
\@writefile{toc}{\contentsline {paragraph}{Proof:}{4}{section*.17}}
\@writefile{toc}{\contentsline {paragraph}{Remark:}{4}{section*.18}}
\@writefile{toc}{\contentsline {paragraph}{Lemma HW:}{5}{section*.19}}
\@writefile{toc}{\contentsline {paragraph}{Remark:}{5}{section*.20}}
\@writefile{toc}{\contentsline {paragraph}{Proof:}{5}{section*.21}}
\@writefile{toc}{\contentsline {paragraph}{Lemma A:}{5}{section*.22}}
\@writefile{toc}{\contentsline {paragraph}{Remark:}{6}{section*.24}}
\@writefile{toc}{\contentsline {paragraph}{Proof:}{6}{section*.25}}
\@writefile{toc}{\contentsline {paragraph}{Group Configuration Theorem:}{6}{section*.27}}
\@writefile{toc}{\contentsline {paragraph}{Example:}{7}{section*.28}}
\@writefile{toc}{\contentsline {paragraph}{Example:}{7}{section*.29}}
\@writefile{toc}{\contentsline {paragraph}{Very rough sketch of proof:}{7}{section*.30}}
\@writefile{toc}{\contentsline {paragraph}{Proof of Group Configuration Theorem:}{7}{section*.31}}