Polycyclic

GAP package Polycyclic: Computation with polycyclic groups. This package provides various algorithms for computations with polycyclic groups defined by polycyclic presentations.

Keywords for this software

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References in zbMATH (referenced in 19 articles , 1 standard article )

Showing results 1 to 19 of 19.
Sorted by year (citations)

  1. Dias, Ivonildes Ribeiro Martins; Rocco, Noraí Romeu: A polycyclic presentation for the (q)-tensor square of a polycyclic group (2020)
  2. Filakovský, M.; Vokřínek, L.: Are two given maps homotopic? An algorithmic viewpoint (2020)
  3. Cant, Alexander; Eick, Bettina: Polynomials describing the multiplication in finitely generated torsion-free nilpotent groups (2019)
  4. Eick, Bettina; Engel, Ann-Kristin: The isomorphism problem for torsion free nilpotent groups of Hirsch length at most (5) (2017)
  5. Rocco, Noraí R.; Rodrigues, Eunice C. P.: The (q)-tensor square of finitely generated nilpotent groups, (q) odd (2017)
  6. Eick, Bettina; Horn, Max: The construction of finite solvable groups revisited. (2014)
  7. Blyth, Russell D.; Morse, Robert Fitzgerald: Computing the nonabelian tensor squares of polycyclic groups. (2009)
  8. de Graaf, Willem A.; Pavan, Andrea: Constructing arithmetic subgroups of unipotent groups. (2009)
  9. Eick, Bettina: Computing (p)-groups with trivial Schur multiplicator. (2009)
  10. Kohl, Stefan: Algorithms for a class of infinite permutation groups. (2008)
  11. Moravec, Primož: The exponents of nonabelian tensor products of groups. (2008)
  12. Nickel, Werner: Matrix representations for torsion-free nilpotent groups by Deep Thought. (2006)
  13. Assmann, Björn; Eick, Bettina: Computing polycyclic presentations for polycyclic rational matrix groups. (2005)
  14. Cannon, John J.; Holt, Derek F.; Slattery, Michael; Steel, Allan K.: Computing subgroups of bounded index in a finite group. (2005)
  15. Eick, Bettina; Ostheimer, Gretchen: On the orbit-stabilizer problem for integral matrix actions of polycyclic groups. (2003)
  16. Dekimpe, Karel; Eick, Bettina: Computational aspects of group extensions and their applications in topology (2002)
  17. Eick, Bettina: Orbit-stabilizer problems and computing normalizers for polycyclic groups. (2002)
  18. Eick, Bettina: Computing with infinite polycyclic groups (2001)
  19. Eick, Bettina: On the Fitting subgroup of a polycyclic-by-finite group and its applications (2001)