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Questions about the branch of algebra that deals with groups.

5 votes
3 answers
2k views

Centralizers of elements in $Sl_{2}(\mathbb{Z})$

Conjugacy classes Of elements of $SL_{2}(\mathbb{Z})$ can be characterized by its trace. If $\mid T(m)\mid=1 $, then it is an element of finite order, if $\mid T(m)\mid =2$, then m …