---
title: "Bibliography"
canonical: "https://docs.magma-maths.org/LieTheory/ChevalleyGroups/bibliography.html"
source: "https://docs.magma-maths.org/LieTheory/ChevalleyGroups/bibliography.md"
part: "Lie Theory"
chapter: "Groups of Lie Type"
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  - {"title": "Lie Theory", "source": "../index-lie-theory.md"}
  - {"title": "Groups of Lie Type", "source": "index-chevalley-groups.md"}
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---

# Bibliography

<a id="cite-babai-etal-1997"></a>
- **[BGK+97]** L. Babai, A. J. Goodman, W. M. Kantor, E. M. Luks, and P. P. Pálfy. Short presentations for finite groups. *J. Algebra*, 194(1):79–112, 1997. URL: [https://doi.org/10.1006/jabr.1996.6980](https://doi.org/10.1006/jabr.1996.6980), [doi:10.1006/jabr.1996.6980](https://doi.org/10.1006/jabr.1996.6980).
<a id="cite-carter-small"></a>
- **[Car72b]** Roger W. Carter. *Simple groups of Lie type*. John Wiley & Sons, London-New York-Sydney, 1972. Pure and Applied Mathematics, Vol. 28.
<a id="cite-carter-big"></a>
- **[Car93]** Roger W. Carter. *Finite groups of Lie type*. John Wiley & Sons, Chichester, 1993. ISBN 0-471-94109-3. Conjugacy classes and complex characters, Reprint of the 1985 original, A Wiley-Interscience Publication.
<a id="cite-computunipgrps"></a>
- **[CHM08]** Arjeh M. Cohen, Sergei Haller, and Scott H. Murray. Computing in unipotent and reductive algebraic groups. *LMS J. Comput. Math.*, 11:343–366, 2008.
<a id="cite-cohenmurraytaylor"></a>
- **[CMT04]** Arjeh M. Cohen, Scott H. Murray, and D. E. Taylor. Computing in groups of Lie type. *Math. Comp.*, 73(247):1477–1498, 2004.
<a id="cite-cohen-taylor"></a>
- **[CT]** Arjeh M. Cohen and D. E. Taylor. Row reduction for twisted groups of Lie type. preprint.
<a id="cite-gilkey-seitz-1988"></a>
- **[GS88]** Peter B. Gilkey and Gary M. Seitz. Some representations of exceptional Lie algebras. *Geom. Dedicata*, 25:407–416, 1988. URL: [https://doi.org/10.1007/BF00191935](https://doi.org/10.1007/BF00191935), [doi:10.1007/BF00191935](https://doi.org/10.1007/BF00191935).
<a id="cite-sh"></a>
- **[Hal05]** Sergei Haller. *Computing Galois Cohomology and Forms of Linear Algebraic Groups*. PhD Thesis, Technical University of Eindhoven, 2005.
<a id="cite-exceptional-lob16"></a>
- **[LO16]** Martin Liebeck and E.A. O'Brien. Recognition of finite exceptional groups of Lie type. *Trans. Amer. Math. Soc.*, 368:6189–6226, 2016.
<a id="cite-papi"></a>
- **[Pap94]** Paolo Papi. A characterization of a special ordering in a root system. *Proc. Amer. Math. Soc.*, 120(3):661–665, 1994.
<a id="cite-steinberg-presentation"></a>
- **[Ste62a]** Robert Steinberg. Générateurs, relations et revêtements de groupes algébriques. In *Colloq. Théorie des Groupes Algébriques (Bruxelles, 1962)*, pages 113–127. Librairie Universitaire, Louvain, 1962.