Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 27 Sayı: 27, 169 - 177, 07.01.2020
https://doi.org/10.24330/ieja.663001

Öz

Kaynakça

  • F. Buekenhout, A. Delandtsheer, J. Doyen, P. B. Kleidman, M. W. Liebeck and J. Saxl, Linear spaces with flag-transitive automorphism groups, Geom. Dedicata, 36(1) (1990), 89-94.
  • P. J. Cameron and C. E. Praeger, Block-transitive t-designs, II: large t, In Finite geometry and combinatorics, Deinze, 1992, London Math. Soc. Lecture Note Ser., Cambridge Univ. Press, 191 (1993), 103-119.
  • S. Dai and S. Li, Flag-transitive 4-(v; k; 4) designs and PSL(2; q) groups, Util. Math., 105 (2017), 3-11.
  • M. Huber, A census of highly symmetric combinatorial designs, J. Algebraic Combin., 26(4) (2007), 453-476.
  • M. Huber, Flag-Transitive Steiner Designs, Frontiers in Mathematics, Birkhauser Verlag, Basel, 2009.
  • B. Huppert, Endliche Gruppen I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967.
  • W. J. Liu, Q. H. Tan and L. Z. Gong, Flag-transitive 5-(v; k; 2) designs, J. Jiangsu Univ. (Natural Science Edition), 31(5) (2010), 612-615.
  • H. Shen, The Theory of Combinatorial Design, Shanghai Jiao Tong Univ. Press, Shanghai, 2008.
  • X. Xu and W. Liu, On flag-transitive 6-(v; k; $\lambda$) designs with $\lambda \leq 5$, Ars Combin., 97 (2010), 507-510.

A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS

Yıl 2020, Cilt: 27 Sayı: 27, 169 - 177, 07.01.2020
https://doi.org/10.24330/ieja.663001

Öz

This article is a contribution to the study of the automorphism groups of $5$-$(v,k,4)$ designs. Let ${\mathcal S}$=$({\mathcal P},{\mathcal B})$ be a non-trivial $5$-$(q+1,k,4)$ design. If $G$ acts flag-transitively on $\mathcal S$, then $G$ is not two-dimensional projective linear group $PSL(2,q)$.

Kaynakça

  • F. Buekenhout, A. Delandtsheer, J. Doyen, P. B. Kleidman, M. W. Liebeck and J. Saxl, Linear spaces with flag-transitive automorphism groups, Geom. Dedicata, 36(1) (1990), 89-94.
  • P. J. Cameron and C. E. Praeger, Block-transitive t-designs, II: large t, In Finite geometry and combinatorics, Deinze, 1992, London Math. Soc. Lecture Note Ser., Cambridge Univ. Press, 191 (1993), 103-119.
  • S. Dai and S. Li, Flag-transitive 4-(v; k; 4) designs and PSL(2; q) groups, Util. Math., 105 (2017), 3-11.
  • M. Huber, A census of highly symmetric combinatorial designs, J. Algebraic Combin., 26(4) (2007), 453-476.
  • M. Huber, Flag-Transitive Steiner Designs, Frontiers in Mathematics, Birkhauser Verlag, Basel, 2009.
  • B. Huppert, Endliche Gruppen I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967.
  • W. J. Liu, Q. H. Tan and L. Z. Gong, Flag-transitive 5-(v; k; 2) designs, J. Jiangsu Univ. (Natural Science Edition), 31(5) (2010), 612-615.
  • H. Shen, The Theory of Combinatorial Design, Shanghai Jiao Tong Univ. Press, Shanghai, 2008.
  • X. Xu and W. Liu, On flag-transitive 6-(v; k; $\lambda$) designs with $\lambda \leq 5$, Ars Combin., 97 (2010), 507-510.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Shaojun Dai Bu kişi benim

Shangzhao Li Bu kişi benim

Yayımlanma Tarihi 7 Ocak 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 27 Sayı: 27

Kaynak Göster

APA Dai, S., & Li, S. (2020). A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS. International Electronic Journal of Algebra, 27(27), 169-177. https://doi.org/10.24330/ieja.663001
AMA Dai S, Li S. A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS. IEJA. Ocak 2020;27(27):169-177. doi:10.24330/ieja.663001
Chicago Dai, Shaojun, ve Shangzhao Li. “A NOTE ON FLAG-TRANSITIVE 5-(v, K, 4) DESIGNS”. International Electronic Journal of Algebra 27, sy. 27 (Ocak 2020): 169-77. https://doi.org/10.24330/ieja.663001.
EndNote Dai S, Li S (01 Ocak 2020) A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS. International Electronic Journal of Algebra 27 27 169–177.
IEEE S. Dai ve S. Li, “A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS”, IEJA, c. 27, sy. 27, ss. 169–177, 2020, doi: 10.24330/ieja.663001.
ISNAD Dai, Shaojun - Li, Shangzhao. “A NOTE ON FLAG-TRANSITIVE 5-(v, K, 4) DESIGNS”. International Electronic Journal of Algebra 27/27 (Ocak 2020), 169-177. https://doi.org/10.24330/ieja.663001.
JAMA Dai S, Li S. A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS. IEJA. 2020;27:169–177.
MLA Dai, Shaojun ve Shangzhao Li. “A NOTE ON FLAG-TRANSITIVE 5-(v, K, 4) DESIGNS”. International Electronic Journal of Algebra, c. 27, sy. 27, 2020, ss. 169-77, doi:10.24330/ieja.663001.
Vancouver Dai S, Li S. A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS. IEJA. 2020;27(27):169-77.