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6
votes
1
answer
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Order of matrix and monic irreducible polynomial over finite field
I want to verify (and prove - in case it is true) the following proposition.
Suppose $\mathbb{F}_p$ is a finite field and $m(x)$ is a monic irreducible polynomial over $\mathbb{F}_p$ with $\mathrm{...
- 219
9
votes
2
answers
604
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Proving that $SL_2(\mathbb{Z}_5) / \{\pm I\}\simeq A_5$
I see here that one can prove that
$$
SL_2(\mathbb{Z}_5) / \{\pm I\} \simeq A_5
$$
using the First Isomorphism Theorem.
My question is how one would do that.
I know that I need a surjective ...
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