---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/FiniteGroups/MatrixGroupsOverInfiniteFields/bibliography.html"
source: "https://docs.magma-maths.org/FiniteGroups/MatrixGroupsOverInfiniteFields/bibliography.md"
part: "Finite Groups"
chapter: "Matrix Groups over Infinite Fields"
breadcrumbs:
  - {"title": "Magma Handbook", "source": "../../index.md"}
  - {"title": "Finite Groups", "source": "../index-finite-groups.md"}
  - {"title": "Matrix Groups over Infinite Fields", "source": "index-matrix-groups-over-infinite-fields.md"}
prev: {"title": "Examples", "source": "examples.md"}
next: {"title": "Matrix Groups over Q and Z", "source": "../MatrixGroupsOverQAndZ/index-matrix-groups-over-qand-z.md"}
---

# Bibliography

<a id="cite-fieker"></a>
- **[BF12]** J.-F. Biasse and C. Fieker. Improved techniques for computing the ideal class group and a system of fundamental units in number fields. In *Proceedings of the Tenth Algorithmic Number Theory Symposium, University of California, San Diego*, volume. 2012.
<a id="cite-def-survey"></a>
- **[DEF11]** A. S. Detinko, B. Eick, and D. L. Flannery. Computing with matrix groups over infinite fields. In *LMS Lecture Note Series*, volume 387, 256–270. 2011.
<a id="cite-large"></a>
- **[DF06]** A. S. Detinko and D. L. Flannery. Computing in nilpotent matrix groups. *LMS J. Comput. Math.*, 9:104–134 (electronic), 2006.
<a id="cite-draft"></a>
- **[DF08]** A. S. Detinko and D. L. Flannery. Algorithms for computing with nilpotent matrix groups over infinite domains. *J. Symbolic Comput.*, 43:8–26, 2008.
<a id="cite-zero"></a>
- **[DF09]** A. S. Detinko and D. L. Flannery. On deciding finiteness of matrix groups. *J. Symbolic Comput.*, 44:1037–1043, 2009.
<a id="cite-positive"></a>
- **[DFO09]** A. S. Detinko, D. L. Flannery, and E. A. O'Brien. Deciding finiteness of matrix groups in positive characteristic. *J. Algebra*, 322:4151–4160, 2009.
<a id="cite-tits"></a>
- **[DFO11]** A. S. Detinko, D. L. Flannery, and E. A. O'Brien. Algorithms for the Tits alternative and related problems. *J. Algebra*, 344:397–406, 2011.
<a id="cite-rank"></a>
- **[DFO13a]** A. S. Detinko, D. L. Flannery, and E. A. O'Brien. Algorithms for linear groups of finite rank. *J. Algebra*, 393:187–196, 2013.
<a id="cite-recog"></a>
- **[DFO13b]** A. S. Detinko, D. L. Flannery, and E. A. O'Brien. Recognizing finite matrix groups over infinite fields. *J. Symbolic Comput.*, 50:100–109, 2013.
<a id="cite-ros10a"></a>
- **[Ros10]** T. Rossmann. Irreducibility testing of finite nilpotent linear groups. *J. Algebra*, 324:1114–1124, 2010.
<a id="cite-ros10b"></a>
- **[Ros11]** T. Rossmann. Primitivity testing of finite nilpotent linear groups. *LMS JCM*, 14:87–98, 2011.