Orbits of irreducible binary forms over GF(p)
classification
🧮 math.GR
keywords
binaryformsformulagroupsirreducibleorbitsactionapplications
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In this note I give a formula for calculating the number of orbits of irreducible binary forms of degree $n$ over GF$(p)$ under the action of GL$(2,p)$. This formula has applications to the classification of class two groups of exponent $p$ with derived groups of order $p^2$.
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