Block Transitive 2 − ( v , 13 , 1 ) Designs and Classical Simple Groups

نویسندگان

  • Shaojun Dai
  • Luozhong Gong
  • Junqing Wang
چکیده

This article is a contribution to the study of the automorphism groups of 2−(v, k, 1) designs. Let D be 2−(v, 13, 1) design, G ≤ Aut(D) be block transitive, point primitive but not flag transitive. Then Soc(G), the socle of G, is not classical simple group over finite filed GF (q)(q odd). Mathematics Subject Classification: 05B05, 20B25

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Block - Transitive 2 - ( v , k , 1 ) Designs and Groups E 6 ( q ) Guang

This article is a contribution to the study of block-transitive automorphism groups of 2-(v, k, 1) block designs. Let D be a 2-(v, k, 1) design admitting a block-transitive, pointprimitive but not flag-transitive automorphism group G. Let kr = (k, v − 1) and q = p f for prime p. In this paper we prove that if G and D are as above and q > (3(krk − kr + 1)f) , then G does not admit a simple group...

متن کامل

3-Homogeneous Groups and Block-Transitive 7–(v, k, 3) Designs

The classification of a block-transitive designs is an important subject on algebraic combinatorics. With the aid of MATLAB software, using the classification theorem of 3-homogeneous permutation groups, we look at the classification problem of block-transitive 7–(v, k, 3) design and prove our main theorem: If the automorphism group of a 7–(v, k, 3) design is block-transitive, then it is neithe...

متن کامل

Existence of 2-(v, k, 1) Designs Admitting a Block-Transitive Group of Affine Type

In this paper we use Weil’s estimate on character sums to prove that large admissible prime powers q admit 2-(q, k, 1) designs having block-transitive automorphism groups in AGL(1, q).

متن کامل

Classification of 2-transitive symmetric designs

All symmetric designs are determined for which the automorphism group is 2-transitive on the set of points. This note contains a proof of the following result. Theorem. Let D be a symmetric design with v > 2k such that Aut D is 2-transitive on points. Then D is one o f the following: (i) a projective space; (ii) the unique Hadamard design with v = I 1 and k = 5; (iii) a unique design with v = 1...

متن کامل

Flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of Lie type

Let $G$ be an automorphism group of a‎ ‎$2$-$(v,k,4)$ symmetric design $mathcal D$‎. ‎In this paper‎, ‎we‎ ‎prove that if $G$ is flag-transitive point-primitive‎, ‎then the‎ ‎socle of $G$ cannot be an exceptional group of Lie type‎.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014