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AIMS Mathematics

2019, Volume 4, Issue 4: 1258-1273. doi: 10.3934/math.2019.4.1258
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On the symmetric block design with parameters (280,63,14) admitting a Frobenius group of order 93

  • Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Prishtina, Avenue “Mother Teresa” 5, 10000 Prishtina, Kosovo
  • Received: 07 April 2019 Accepted: 14 August 2019 Published: 02 September 2019

  • MSC : 05B05

  • In this paper we have proved that for a putative symmetric block design ${\mathcal D}$ with parameters (280, 63, 14), admitting a Frobenius group $G = \langle\rho, \mu\vert \rho^{31} = \mu^{3} = 1, \rho^\mu = \rho^5\rangle$ of order 93, there are exactly thirteen possible orbit structure up to isomorphism; two with the orbit distribution $[1;31;31;31;93;93]$, eight with the orbit distribution $[1;31;31;31;31;31;31;93]$ and three with the orbit distribution $[1;31;31;31;31;31;31;31;31;, 31]$.

    Citation: Menderes Gashi. On the symmetric block design with parameters (280,63,14) admitting a Frobenius group of order 93[J]. AIMS Mathematics, 2019, 4(4): 1258-1273. doi: 10.3934/math.2019.4.1258

    Related Papers:

  • In this paper we have proved that for a putative symmetric block design ${\mathcal D}$ with parameters (280, 63, 14), admitting a Frobenius group $G = \langle\rho, \mu\vert \rho^{31} = \mu^{3} = 1, \rho^\mu = \rho^5\rangle$ of order 93, there are exactly thirteen possible orbit structure up to isomorphism; two with the orbit distribution $[1;31;31;31;93;93]$, eight with the orbit distribution $[1;31;31;31;31;31;31;93]$ and three with the orbit distribution $[1;31;31;31;31;31;31;31;31;, 31]$.


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