Unique symmetric (66, 26, 10) design admitting an automorphism of order 55
type: Item
instance of: scholarly article
zbMATH Open document ID: 0985.05006
author: Dean Crnković
author: Sanja Rukavina
publication date: 2002-01-27T00:00:00Z
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1655911
zbMATH Keywords: symmetric design
zbMATH Keywords: automorphism group
MaRDI profile type: Publication
title: Unique symmetric (66, 26, 10) design admitting an automorphism of order 55
published in: Mathematical Communications
review text: This paper shows that the first known symmetric \((66, 26, 10)\) design, constructed by \textit{Tran Van Trung} [J. Comb. Theory, Ser. A 33, 201-204 (1982; Zbl 0519.05008)], is up to isomorphism the only symmetric \((66, 26, 10)\) design admitting an automorphism of order \(55\), and that a full automorphism group of the design is isomorphic to \(\text{Frob}_{55}\times{\mathcal D}_{10}\). This completes the classification of symmetric \((66, 26, 10)\) designs with an automorphism group of order \(55\).
reviewed by: Sanpei Kageyama
description: scientific article; zbMATH DE number 1655911