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)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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