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Questions about the branch of algebra that deals with groups.

8 votes
2 answers
1k views

Counting matrices over finite fields of a given order

How can I count/enumerate matrices in ${\rm GL}(2,{\rm GF}(2^5))$ of order $3$? In general, how can I obtain the number of matrices in ${\rm GL}(2,{\rm GF}(q))$, where $q$ is a power of a prime, of or …
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