Sebastian Jambor

I am a PhD student at Lehrstuhl B für Mathematik, supervised by Wilhelm Plesken.

My research interests are computational aspects in group theory.

Currently, I am working on an extension of the PSL(2, q)-quotient algorithm by Plesken and Fabianska, to include PSL(3, q)-quotients and PSU(3, q)-quotients.

Software

  1. An implementation of the L2 quotient algorithm of Plesken and Fabianska (case of two generators).

Publications

  1. With Wilhelm Plesken
    Normal form for matrices over uniserial rings of length two
    J. Algebra, 358 (1012), 250-256
    GAP code to compute normal forms: classes.gap
  2. Computing minimal associated primes in polynomial rings over the integers
    J. Symbolic Comput., 46 (2011), no. 10, 1098-1104
    The computer algebra system Ginv: ginv.tgz
    The example files, containing the ideals: examples.tgz
  3. Generic extensions and generic polynomials for semidirect products
    J. Algebra, 322 (2009), no. 11, 4040-4052.
  4. With Grant Cairns
    The cohomology of the Heisenberg Lie algebras over fields of finite characteristic
    Proc. Amer. Math. Soc., 136 (2008), no. 11, 3803-3807.