## Title data

Braun, Michael ; Kiermaier, Michael ; Nakić, Anamari:

**On the automorphism group of a binary q-analog of the Fano plane.**

*In:* European Journal of Combinatorics.
Vol. 51
(January 2016)
.
- pp. 443-457.

ISSN 0195-6698

DOI: https://doi.org/10.1016/j.ejc.2015.07.014

## Abstract in another language

The smallest set of admissible parameters of a q-analog of a Steiner system is S2[2,3,7]. The existence of such a Steiner system–known as a binary q-analog of the Fano plane–is still open. In this article, the automorphism group of a putative binary q-analog of the Fano plane is investigated by a combination of theoretical and computational methods. As a conclusion, it is either rigid or its automorphism group is cyclic of order 2, 3 or 4. Up to conjugacy in GL(7,2), there remains a single possible group of order 2 and 4, respectively, and two possible groups of order 3. For the automorphisms of order 2, we give a more general result which is valid for any binary q-Steiner triple system.

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Subject classification: | Mathematics Subject Classification Code: 05B30 (05B07) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 24 Mar 2016 07:37 |

Last Modified: | 24 Mar 2016 07:37 |

URI: | https://eref.uni-bayreuth.de/id/eprint/32031 |