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Guarana

Applications of Lie methods for computations with infinite polycyclic groups

0.96.3

11 February 2022

Björn Assmann
Email: bjoern@mcs.st-and.ac.uk

Copyright

© 2007 Björn Assmann.

Contents

1.1 About Guarana

1.2 Setup for computing the correspondence

2 Computing the Mal'cev correspondence

2.1 The main functions

  2.1-1 MalcevObjectByTGroup
  2.1-2 UnderlyingGroup
  2.1-3 UnderlyingLieAlgebra
  2.1-4 Dimension
  2.1-5 MalcevGrpElementByExponents
  2.1-6 MalcevLieElementByCoefficients
  2.1-7 RandomGrpElm
  2.1-8 RandomLieElm
  2.1-9 Log
  2.1-10 Exp
  2.1-11 *
  2.1-12 Comm
  2.1-13 MalcevSymbolicGrpElementByExponents
  2.1-14 MalcevLieElementByCoefficients

2.2 An example application

3 Mal'cev collection

3.1 The main functions

  3.1-1 MalcevCollectorConstruction
  3.1-2 GUARANA.Tr_n_O1
  3.1-3 GUARANA.F_2c_Aut1
  3.1-4 MalcevGElementByExponents
  3.1-5 Random
  3.1-6 *
  3.1-7 GUARANA.AverageRuntimeCollec

3.2 An example application

4.1 Installing this package

4.2 Loading the Guarana package

4.3 Running the test suite

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