Classifying spaces for proper group actions (Ex)

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Latest revision as of 23:22, 27 August 2013

Let $<wikitex>; Let $D_{\infty} = \Zz \rtimes \Zz/2 = \Zz/2 \ast \Zz/2$ be the infinite dihedral group. Show that $\Rr$ with the obvious $D_{\infty}$-action is a model for $\underline{E}D_{\infty}$; see [[Classifying spaces for families of subgroups]]. Find nice models for $\underline{E} SL_2(\Zz)$. </wikitex> == References == {{#RefList:}} [[Category:Exercises]] [[Category:Exercises without solution]]D_{\infty} = \Zz \rtimes \Zz/2 = \Zz/2 \ast \Zz/2$ be the infinite dihedral group. Show that $\Rr$ with the obvious $D_{\infty}$ -action is a model for $\underline{E}D_{\infty}$ ; see Classifying spaces for families of subgroups.
Find nice models for $\underline{E} SL_2(\Zz)$ .

@@ Line 1: / Line 1: @@
 <wikitex>;
-Let $D_{\infty} = \Zz \rtimes \Zz/2 = \Zz/2 \ast \Zz/2$ be the infinite dihedral
+# Let $D_{\infty} = \Zz \rtimes \Zz/2 = \Zz/2 \ast \Zz/2$ be the infinite dihedral group. Show that $\Rr$ with the obvious $D_{\infty}$-action is a model for $\underline{E}D_{\infty}$; see [[Classifying spaces for families of subgroups]].
-group. Show that $\Rr$ with the obvious $D_{\infty}$-action is a model for $\underline{E}D_{\infty}$; see [[Classifying spaces for families of subgroups]].
+# Find nice models for $\underline{E} SL_2(\Zz)$.
-Find nice models for $\underline{E} SL_2(\Zz)$.
 </wikitex>
 == References ==