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arXiv · 1904.10518

Flag-transitive block designs with prime replication number and almost simple groups

Seyed Hassan Alavi·Mohsen Bayat·Jalal Choulaki·Asharf Daneshkhah
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Abstract

In this article, we study $2$-designs with prime replication number admitting a flag-transitive automorphism group. The automorphism groups of these designs are point-primitive of almost simple or affine type. We determine $2$-designs with prime replication number admitting an almost simple automorphism group.

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Seyed Hassan Alavi, Mohsen Bayat, Jalal Choulaki, Asharf Daneshkhah. 2019-04-23. Flag-transitive block designs with prime replication number and almost simple groups. https://arxiv.org/abs/1904.10518

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