On the Symmetric Block Design with Parameters (306,61,12) Admitting a Group of Order 61

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.v11i3.3259

Keywords:

Symmetric block design, Orbit structure, Automorphism group

Abstract

In this paper we have proved that up to isomorphism there are exactly two orbit structures for a putative symmetric block design D with parameters (306,61,12), constructed by group G of order 61. Also the full automorphism groups for these orbit structures are given.

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Published

2018-07-31

Issue

Vol. 11 No. 3: (July 2018)

Section

Discrete Mathematics

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How to Cite

On the Symmetric Block Design with Parameters (306,61,12) Admitting a Group of Order 61. (2018). European Journal of Pure and Applied Mathematics, 11(3), 645-651. https://doi.org/10.29020/nybg.ejpam.v11i3.3259