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

Menderes Gashi

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.

Keywords

Symmetric block design, Orbit structure, Automorphism group

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