Solution Found!
Consider the element in SL(2, R). What is the order of A
Chapter 3, Problem 53E(choose chapter or problem)
QUESTION:
Consider the element \(A=\left[\begin{array}{ll}1 & 1 \\0 & 1\end{array}\right]\) in SL(2, R). What is the order of A? If we view \(A=\left[\begin{array}{ll}1 & 1 \\0 & 1\end{array}\right]\) as a member of \(S L\left(2, Z_{p}\right)\) (p is a prime), what is the order of A?
Questions & Answers
QUESTION:
Consider the element \(A=\left[\begin{array}{ll}1 & 1 \\0 & 1\end{array}\right]\) in SL(2, R). What is the order of A? If we view \(A=\left[\begin{array}{ll}1 & 1 \\0 & 1\end{array}\right]\) as a member of \(S L\left(2, Z_{p}\right)\) (p is a prime), what is the order of A?
ANSWER:Step 1 of 2
Given A =
In general,