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Stefan Kohl
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Counting Matricesmatrices over Finite Fieldsfinite fields of a given order

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

Counting Matrices over Finite Fields of a given order

How can I count/enumerate matrices in GL(2,GF(2^5)) of order 3? In general, how can I obtain the number of matrices in GL(2,GF(q)), where q is a power of a prime of order, say, t?

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 order, say, $t$?

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Counting Matrices over Finite Fields of a given order

How can I count/enumerate matrices in GL(2,GF(2^5)) of order 3? In general, how can I obtain the number of matrices in GL(2,GF(q)), where q is a power of a prime of order, say, t?