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Designs, Codes and Cryptography

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01-05-2016

Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups

Authors: Seyed Hassan Alavi, Mohsen Bayat, Ashraf Daneshkhah

Published in: Designs, Codes and Cryptography | Issue 2/2016

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Abstract

The main aim of this article is to study symmetric \((v,k,\lambda )\) designs admitting a flag-transitive and point-primitive automorphism group \(G\) whose socle is \(\mathrm {PSL}(2, q)\), for \(q\ne 2,3\). In particular we determine all such possible parameters \((v,k,\lambda )\) and show that there exist five isomorphic classes of such designs with \(\lambda =1,2,3,4\).

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Title: Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups
Authors: Seyed Hassan Alavi
Mohsen Bayat
Ashraf Daneshkhah
Publication date: 01-05-2016
Publisher: Springer US
Published in: Designs, Codes and Cryptography / Issue 2/2016
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-015-0055-9

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Symmetric designs admitting flag-transitive and point-primitive automorphism groups associated to two dimensional projective special groups

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