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- W1991489711 abstract "The group PGL$(2,q)$, $q=p^n$, $p$ an odd prime, is $3$-transitive on the projective line and therefore it can be used to construct $3$-designs. In this paper, we determine the sizes of orbits from the action of PGL$(2,q)$ on the $k$-subsets of the projective line when $k$ is not congruent to $0$ and 1 modulo $p$. Consequently, we find all values of $lambda$ for which there exist $3$-$(q+1,k,lambda)$ designs admitting PGL$(2,q)$ as automorphism group. In the case $pequiv 3$ mod 4, the results and some previously known facts are used to classify 3-designs from PSL$(2,p)$ up to isomorphism." @default.
- W1991489711 created "2016-06-24" @default.
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- W1991489711 date "2006-05-19" @default.
- W1991489711 modified "2023-10-13" @default.
- W1991489711 title "$3$-Designs from PGL$(2,q)$" @default.
- W1991489711 doi "https://doi.org/10.37236/1076" @default.
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