Groups of Ree type in characteristic 3 acting on polytopes
- Author
- Dimitri Leemans, Egon Schulte and Hendrik Van Maldeghem (UGent)
- Organization
- Abstract
- Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract regular polytope, and any such polytope is necessarily a regular polyhedron (a map on a surface). However, an almost simple group G with R(q) < G <= Aut(R(q)) is not a C-group and therefore not the automorphism group of an abstract regular polytope of any rank.
- Keywords
- Abstract regular polytopes, string C-groups, small Ree groups, permutation groups
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8613734
- MLA
- Leemans, Dimitri, et al. “Groups of Ree Type in Characteristic 3 Acting on Polytopes.” ARS MATHEMATICA CONTEMPORANEA, vol. 14, no. 2, 2018, pp. 209–26.
- APA
- Leemans, D., Schulte, E., & Van Maldeghem, H. (2018). Groups of Ree type in characteristic 3 acting on polytopes. ARS MATHEMATICA CONTEMPORANEA, 14(2), 209–226.
- Chicago author-date
- Leemans, Dimitri, Egon Schulte, and Hendrik Van Maldeghem. 2018. “Groups of Ree Type in Characteristic 3 Acting on Polytopes.” ARS MATHEMATICA CONTEMPORANEA 14 (2): 209–26.
- Chicago author-date (all authors)
- Leemans, Dimitri, Egon Schulte, and Hendrik Van Maldeghem. 2018. “Groups of Ree Type in Characteristic 3 Acting on Polytopes.” ARS MATHEMATICA CONTEMPORANEA 14 (2): 209–226.
- Vancouver
- 1.Leemans D, Schulte E, Van Maldeghem H. Groups of Ree type in characteristic 3 acting on polytopes. ARS MATHEMATICA CONTEMPORANEA. 2018;14(2):209–26.
- IEEE
- [1]D. Leemans, E. Schulte, and H. Van Maldeghem, “Groups of Ree type in characteristic 3 acting on polytopes,” ARS MATHEMATICA CONTEMPORANEA, vol. 14, no. 2, pp. 209–226, 2018.
@article{8613734, abstract = {{Every Ree group R(q), with q not equal 3 an odd power of 3, is the automorphism group of an abstract regular polytope, and any such polytope is necessarily a regular polyhedron (a map on a surface). However, an almost simple group G with R(q) < G <= Aut(R(q)) is not a C-group and therefore not the automorphism group of an abstract regular polytope of any rank.}}, author = {{Leemans, Dimitri and Schulte, Egon and Van Maldeghem, Hendrik}}, issn = {{1855-3966}}, journal = {{ARS MATHEMATICA CONTEMPORANEA}}, keywords = {{Abstract regular polytopes,string C-groups,small Ree groups,permutation groups}}, language = {{eng}}, number = {{2}}, pages = {{209--226}}, title = {{Groups of Ree type in characteristic 3 acting on polytopes}}, volume = {{14}}, year = {{2018}}, }