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Designs, Codes and Cryptography

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01-10-2023

Flag-transitive symmetric 2-designs of prime order

Authors: Ziwei Lu, Shenglin Zhou

Published in: Designs, Codes and Cryptography | Issue 2/2024

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Abstract

In this paper, we study a flag-transitive automorphism group G of symmetric 2-\((v,k,\lambda )\) designs, where \(\lambda >1\) and the order \(n=k-\lambda \) is a prime number. We prove that G is point-primitive, and it is of affine or almost simple type.

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Title: Flag-transitive symmetric 2-designs of prime order
Authors: Ziwei Lu
Shenglin Zhou
Publication date: 01-10-2023
Publisher: Springer US
Published in: Designs, Codes and Cryptography / Issue 2/2024
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-023-01307-4

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Flag-transitive symmetric 2-designs of prime order

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