Geodesic
Infinite families of \((q^2+1)\)-tight sets of quadrics with an automorphism group \(\mathrm{PSp}(n, q), n=4, 6\)
Antonio Cossidente1
1Dipartimento di Matematica Informatica ed Economia - Università degli Studi della Basilicata
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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We present new infinite families of $(q^2+1)$-tight sets of quadrics admitting the symplectic group ${\rm PSp}(n,q)$, $n=4,6$, as an automorphism group. Our constructions rely on the geometry of Veronese and Grassmann varieties.
DOI : 10.37236/12433
Classification : 51A50, 05B25
Mots-clés : polar space, tight set

Antonio Cossidente  1

1 Dipartimento di Matematica Informatica ed Economia - Università degli Studi della Basilicata 
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     author = {Antonio Cossidente},
     title = {Infinite families of \((q^2+1)\)-tight sets of quadrics with an automorphism group {\(\mathrm{PSp}(n,} q), n=4, 6\)},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {2},
     doi = {10.37236/12433},
     zbl = {1559.51003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/12433/}
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Antonio Cossidente. Infinite families of \((q^2+1)\)-tight sets of quadrics with an automorphism group \(\mathrm{PSp}(n, q), n=4, 6\). The electronic journal of combinatorics, Tome 31 (2024) no. 2. doi: 10.37236/12433

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