On the Symmetric Block Design with Parameters (210,77,28) Admitting a Frobenius Group of Order 57

Authors

  • Menderes Gashi Department of mathematics, Faculty of Mathematics and Natural Sciences, University of Prishtina "Hasan Prishtina", Prishtinë, Kosovo

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3769

Keywords:

Symmetric block design, Orbit structure, Automorphism group

Abstract

In this paper we have proved that for a putative symmetric block design D with parameters (210,77,28), admitting a Frobenius group G = (hÏ, μ|Ï19 = μ3 = 1, Ïμ = Ï7) of order 57, there are exactly six possible orbit structures up to isomorphism with the orbit distribution [1; 19; 19; 19; 19; 19; 19; 19; 19; 19; 19; 19].

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Published

2020-07-31

Issue

Section

Nonlinear Analysis

How to Cite

On the Symmetric Block Design with Parameters (210,77,28) Admitting a Frobenius Group of Order 57. (2020). European Journal of Pure and Applied Mathematics, 13(3), 608-619. https://doi.org/10.29020/nybg.ejpam.v13i3.3769

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