Abstract
We exhibit an implementation in the computer algebra system GAP of a method to approximate generators of an integral arithmetic group.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baues, O., Grunewald, F.: Automorphism groups of polycyclic-by-finite groups and arithmetic groups. Publ. Math. Inst. Hautes Études Sci. 104, 213–268 (2006)
Borel, A., Harish-Chandra: Arithmetic subgroups of algebraic groups. Ann. of Math. (2) 75, 485–535 (1962)
de Graaf, W.A., Pavan, A.: Constructing arithmetic subgroups of unipotent groups. J. Algebra 322(11), 3950–3970 (2009)
Grunewald, F., Segal, D.: Some general algorithms, I: Arithmetic groups. Ann. Math. 112, 531–583 (1980)
Grunewald, F., Segal, D.: Some general algorithms, II: Nilpotent groups. Ann. Math. 112, 585–617 (1980)
The GAP Group. GAP – Groups, Algorithms and Programming, Version 4.4 (2005), http://www.gap-system.org
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Eick, B. (2014). Approximating Generators for Integral Arithmetic Groups. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_14
Download citation
DOI: https://doi.org/10.1007/978-3-662-44199-2_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-44198-5
Online ISBN: 978-3-662-44199-2
eBook Packages: Computer ScienceComputer Science (R0)