کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627292 1631806 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Block-transitive 2-(v,k,1)2-(v,k,1) designs and the Chevalley groups F4(q)F4(q)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Block-transitive 2-(v,k,1)2-(v,k,1) designs and the Chevalley groups F4(q)F4(q)
چکیده انگلیسی

This paper is a contribution to the study of the automorphism groups of 2-(v,k,1)2-(v,k,1) designs. Our aim is to classify pairs (D,G)(D,G) in which DD is a 2-(v,k,1)2-(v,k,1) design and G   is a block-transitive group of automorphisms of DD. It is clear that if one wishes to study the structure of a finite group acting on a 2-(v,k,1)2-(v,k,1) design then describing the socle is an important first step. Let G   act as a block-transitive and point-primitive automorphism group of a 2-(v,k,1)2-(v,k,1) design DD. Set k2=(k,v-1)k2=(k,v-1). In this paper we prove that when q=paq=pa for some prime power and q   is “large”, specifically, q⩾22(k2k-k2+1)a, then the socle of G   is not F4(q)F4(q).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 248, 1 December 2014, Pages 380–385
نویسندگان
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