Some Applications of Magma

The following papers show how some people have used Magma in their research:

• Some Applications of Magma to Number Theory [Wieb Bosma]
  Explicit primality criteria; addition laws on elliptic curves; class groups of quadratic fields; cyclotomic polynomials; arithmetically equivalent fields; aliquot sequences.
  PostScript (120K) or dvi file (26K)

• Applications of the Magma Computer Algebra System [Jon Carlson]
  Projective resolutions and group cohomology; rank varieties; endotrivial modules and tensor induction.
  PostScript (46K) or dvi file (6K)

• Calculating Invariants of Modular Reflection Groups with Magma [Gregor Kemper]
  PostScript (83K) or dvi file (20K)

• Some Successful Applications of Magma and Cayley to Designs and Codes [Jenny Key]
  Bases of minimum-weight vectors; biplanes on 56 points; Hadamard designs and Reed-Muller codes; codes from Hermitian unitals.
  PostScript (68K) or dvi file (11K)

• Some Applications of Magma to Finite Geometry and Group Theory [Dimitri Leemans]
  Atlases of PRI and RWPRI geometries.
  PostScript (50K) or dvi file (7K)