Non-abelian representations of the slim dense near hexagons on 81 and 243 points
- Author
- Bart De Bruyn (UGent) , Binod Sahoo and Narasimha Sastry
- Organization
- Abstract
- We prove that the near hexagon Q(5, 2) x L(3) has a non-abelian representation in the extra-special 2-group 21(+)(1+12) and that the near hexagon Q(5, 2) circle times Q(5, 2) has a non-abelian representation in the extra-special 2-group 2(-)(1+18). The description of the non-abelian representation of Q(5, 2) circle times Q(5, 2) makes use of a new combinatorial construction of this near hexagon.
- Keywords
- GENERALIZED QUADRANGLES, POLYGONS, Extra-special 2-group, Near hexagon, Non-abelian representation, SYMMETRY, SPACES, SPREAD, ORDER
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-2026929
- MLA
- De Bruyn, Bart, et al. “Non-Abelian Representations of the Slim Dense near Hexagons on 81 and 243 Points.” JOURNAL OF ALGEBRAIC COMBINATORICS, vol. 33, no. 1, 2011, pp. 127–40, doi:10.1007/s10801-010-0237-5.
- APA
- De Bruyn, B., Sahoo, B., & Sastry, N. (2011). Non-abelian representations of the slim dense near hexagons on 81 and 243 points. JOURNAL OF ALGEBRAIC COMBINATORICS, 33(1), 127–140. https://doi.org/10.1007/s10801-010-0237-5
- Chicago author-date
- De Bruyn, Bart, Binod Sahoo, and Narasimha Sastry. 2011. “Non-Abelian Representations of the Slim Dense near Hexagons on 81 and 243 Points.” JOURNAL OF ALGEBRAIC COMBINATORICS 33 (1): 127–40. https://doi.org/10.1007/s10801-010-0237-5.
- Chicago author-date (all authors)
- De Bruyn, Bart, Binod Sahoo, and Narasimha Sastry. 2011. “Non-Abelian Representations of the Slim Dense near Hexagons on 81 and 243 Points.” JOURNAL OF ALGEBRAIC COMBINATORICS 33 (1): 127–140. doi:10.1007/s10801-010-0237-5.
- Vancouver
- 1.De Bruyn B, Sahoo B, Sastry N. Non-abelian representations of the slim dense near hexagons on 81 and 243 points. JOURNAL OF ALGEBRAIC COMBINATORICS. 2011;33(1):127–40.
- IEEE
- [1]B. De Bruyn, B. Sahoo, and N. Sastry, “Non-abelian representations of the slim dense near hexagons on 81 and 243 points,” JOURNAL OF ALGEBRAIC COMBINATORICS, vol. 33, no. 1, pp. 127–140, 2011.
@article{2026929, abstract = {{We prove that the near hexagon Q(5, 2) x L(3) has a non-abelian representation in the extra-special 2-group 21(+)(1+12) and that the near hexagon Q(5, 2) circle times Q(5, 2) has a non-abelian representation in the extra-special 2-group 2(-)(1+18). The description of the non-abelian representation of Q(5, 2) circle times Q(5, 2) makes use of a new combinatorial construction of this near hexagon.}}, author = {{De Bruyn, Bart and Sahoo, Binod and Sastry, Narasimha}}, issn = {{0925-9899}}, journal = {{JOURNAL OF ALGEBRAIC COMBINATORICS}}, keywords = {{GENERALIZED QUADRANGLES,POLYGONS,Extra-special 2-group,Near hexagon,Non-abelian representation,SYMMETRY,SPACES,SPREAD,ORDER}}, language = {{eng}}, number = {{1}}, pages = {{127--140}}, title = {{Non-abelian representations of the slim dense near hexagons on 81 and 243 points}}, url = {{http://doi.org/10.1007/s10801-010-0237-5}}, volume = {{33}}, year = {{2011}}, }
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