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- W1566931862 abstract "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." @default.
- W1566931862 created "2016-06-24" @default.
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- W1566931862 date "2016-01-01" @default.
- W1566931862 modified "2023-09-23" @default.
- W1566931862 title "On the automorphism group of a binary <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si159.gif display=inline overflow=scroll><mml:mi>q</mml:mi></mml:math>-analog of the Fano plane" @default.
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- W1566931862 doi "https://doi.org/10.1016/j.ejc.2015.07.014" @default.
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