English

Orbits of irreducible binary forms over GF$(p)$

Group Theory 2017-05-23 v1

Abstract

In this note I give a formula for calculating the number of orbits of irreducible binary forms of degree nn over GF(p)(p) under the action of GL(2,p)(2,p). This formula has applications to the classification of class two groups of exponent pp with derived groups of order p2p^2.

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Cite

@article{arxiv.1705.07418,
  title  = {Orbits of irreducible binary forms over GF$(p)$},
  author = {Michael Vaughan-Lee},
  journal= {arXiv preprint arXiv:1705.07418},
  year   = {2017}
}

Comments

14 pages

R2 v1 2026-06-22T19:53:46.392Z