2-(V,k, 1) designs admitting automorphism groups with socle 2f±(q)

Authors

  • Li, Shangzhao
  • Dai, Shaojun
  • Han, Guangguo

Abstract

It is a large and demanding project for determining pairs (V, G) in which V is a 2-(v, k, 1) design and G is a block-transitive group of automorphisms of T>. Eighteen years ago the problem was essentially reduced to the case in which G is an almost simple group, that is, a group such that for some non-abelian finite simple group T we have T <G < Aut(T) by Camina and Praeger el at. This paper continues the works of Camina and Praeger el at. Let G act as a point-primitive block-transitive automorphism group of 2-(v, k, 1) designs V with a Ree group QFi(q) socle, we prove that the parameter k > where q = 2° for a integer a = 2n + l,n> 0. © 2020 Utilitas Mathematica Publishing Inc.. All rights reserved.

Published

2020-03-09

How to Cite

Li, Shangzhao, Dai, Shaojun, & Han, Guangguo. (2020). 2-(V,k, 1) designs admitting automorphism groups with socle 2f±(q). Utilitas Mathematica, 114. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1502

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